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What is the quotient and remainder when $ 2342152 $ is divided by $ 17 $ ?
Answer
The quotient is 137773 and the remainder is 11.
Explanation
Division Table
|
| | 0 | 1 | 3 | 7 | 7 | 7 | 3 |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | 2 | | | |
| | – | 1 | 1 | 9 | | | |
| | | | 1 | 3 | 1 | | |
| | | – | 1 | 1 | 9 | | |
| | | | | 1 | 2 | 5 | |
| | | | – | 1 | 1 | 9 | |
| | | | | | | 6 | 2 |
| | | | | | – | 5 | 1 |
| | | | | | | 1 | 1 |
STEP 0: set up a division table
|
| | | | | | | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
STEP 1: DIVIDE 2 : 17 = 0 with a remainder of 2
|
| | 0 | | | | | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
STEP 2: MULTIPLY 0 · 17 = 0
|
| | 0 | | | | | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| | 0 | | | | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | | | | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | | | | | | |
STEP 4: BRING DOWN
|
| | 0 | | | | | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
STEP 5: DIVIDE 23 : 17 = 1 with a remainder of 6
|
| | 0 | 1 | | | | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
STEP 6: MULTIPLY 1 · 17 = 17
|
| | 0 | 1 | | | | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| | 1 | 7 | | | | | |
STEP 7: SUBTRACT 23 - 17 = 6
|
| | 0 | 1 | | | | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | | | | | |
STEP 8: BRING DOWN
|
| | 0 | 1 | | | | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
STEP 9: DIVIDE 64 : 17 = 3 with a remainder of 13
|
| | 0 | 1 | 3 | | | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
STEP 10: MULTIPLY 3 · 17 = 51
|
| | 0 | 1 | 3 | | | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | | 5 | 1 | | | | |
STEP 11: SUBTRACT 64 - 51 = 13
|
| | 0 | 1 | 3 | | | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | | | | |
STEP 12: BRING DOWN
|
| | 0 | 1 | 3 | | | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | 2 | | | |
STEP 13: DIVIDE 132 : 17 = 7 with a remainder of 13
|
| | 0 | 1 | 3 | 7 | | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | 2 | | | |
STEP 14: MULTIPLY 7 · 17 = 119
|
| | 0 | 1 | 3 | 7 | | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | 2 | | | |
| | | 1 | 1 | 9 | | | |
STEP 15: SUBTRACT 132 - 119 = 13
|
| | 0 | 1 | 3 | 7 | | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | 2 | | | |
| | – | 1 | 1 | 9 | | | |
| | | | 1 | 3 | | | |
STEP 16: BRING DOWN
|
| | 0 | 1 | 3 | 7 | | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | 2 | | | |
| | – | 1 | 1 | 9 | | | |
| | | | 1 | 3 | 1 | | |
STEP 17: DIVIDE 131 : 17 = 7 with a remainder of 12
|
| | 0 | 1 | 3 | 7 | 7 | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | 2 | | | |
| | – | 1 | 1 | 9 | | | |
| | | | 1 | 3 | 1 | | |
STEP 18: MULTIPLY 7 · 17 = 119
|
| | 0 | 1 | 3 | 7 | 7 | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | 2 | | | |
| | – | 1 | 1 | 9 | | | |
| | | | 1 | 3 | 1 | | |
| | | | 1 | 1 | 9 | | |
STEP 19: SUBTRACT 131 - 119 = 12
|
| | 0 | 1 | 3 | 7 | 7 | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | 2 | | | |
| | – | 1 | 1 | 9 | | | |
| | | | 1 | 3 | 1 | | |
| | | – | 1 | 1 | 9 | | |
| | | | | 1 | 2 | | |
STEP 20: BRING DOWN
|
| | 0 | 1 | 3 | 7 | 7 | | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | 2 | | | |
| | – | 1 | 1 | 9 | | | |
| | | | 1 | 3 | 1 | | |
| | | – | 1 | 1 | 9 | | |
| | | | | 1 | 2 | 5 | |
STEP 21: DIVIDE 125 : 17 = 7 with a remainder of 6
|
| | 0 | 1 | 3 | 7 | 7 | 7 | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | 2 | | | |
| | – | 1 | 1 | 9 | | | |
| | | | 1 | 3 | 1 | | |
| | | – | 1 | 1 | 9 | | |
| | | | | 1 | 2 | 5 | |
STEP 22: MULTIPLY 7 · 17 = 119
|
| | 0 | 1 | 3 | 7 | 7 | 7 | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | 2 | | | |
| | – | 1 | 1 | 9 | | | |
| | | | 1 | 3 | 1 | | |
| | | – | 1 | 1 | 9 | | |
| | | | | 1 | 2 | 5 | |
| | | | | 1 | 1 | 9 | |
STEP 23: SUBTRACT 125 - 119 = 6
|
| | 0 | 1 | 3 | 7 | 7 | 7 | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | 2 | | | |
| | – | 1 | 1 | 9 | | | |
| | | | 1 | 3 | 1 | | |
| | | – | 1 | 1 | 9 | | |
| | | | | 1 | 2 | 5 | |
| | | | – | 1 | 1 | 9 | |
| | | | | | | 6 | |
STEP 24: BRING DOWN
|
| | 0 | 1 | 3 | 7 | 7 | 7 | |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | 2 | | | |
| | – | 1 | 1 | 9 | | | |
| | | | 1 | 3 | 1 | | |
| | | – | 1 | 1 | 9 | | |
| | | | | 1 | 2 | 5 | |
| | | | – | 1 | 1 | 9 | |
| | | | | | | 6 | 2 |
STEP 25: DIVIDE 62 : 17 = 3 with a remainder of 11
|
| | 0 | 1 | 3 | 7 | 7 | 7 | 3 |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | 2 | | | |
| | – | 1 | 1 | 9 | | | |
| | | | 1 | 3 | 1 | | |
| | | – | 1 | 1 | 9 | | |
| | | | | 1 | 2 | 5 | |
| | | | – | 1 | 1 | 9 | |
| | | | | | | 6 | 2 |
STEP 26: MULTIPLY 3 · 17 = 51
|
| | 0 | 1 | 3 | 7 | 7 | 7 | 3 |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | 2 | | | |
| | – | 1 | 1 | 9 | | | |
| | | | 1 | 3 | 1 | | |
| | | – | 1 | 1 | 9 | | |
| | | | | 1 | 2 | 5 | |
| | | | – | 1 | 1 | 9 | |
| | | | | | | 6 | 2 |
| | | | | | | 5 | 1 |
STEP 27: SUBTRACT 62 - 51 = 11
|
| | 0 | 1 | 3 | 7 | 7 | 7 | 3 |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | 2 | | | |
| | – | 1 | 1 | 9 | | | |
| | | | 1 | 3 | 1 | | |
| | | – | 1 | 1 | 9 | | |
| | | | | 1 | 2 | 5 | |
| | | | – | 1 | 1 | 9 | |
| | | | | | | 6 | 2 |
| | | | | | – | 5 | 1 |
| | | | | | | 1 | 1 |
STEP 27: SUBTRACT 62 - 51 = 11
|
| | 0 | 1 | 3 | 7 | 7 | 7 | 3 |
1 | 7 | 2 | 3 | 4 | 2 | 1 | 5 | 2 |
| – | 0 | | | | | | |
| | 2 | 3 | | | | | |
| – | 1 | 7 | | | | | |
| | | 6 | 4 | | | | |
| | – | 5 | 1 | | | | |
| | | 1 | 3 | 2 | | | |
| | – | 1 | 1 | 9 | | | |
| | | | 1 | 3 | 1 | | |
| | | – | 1 | 1 | 9 | | |
| | | | | 1 | 2 | 5 | |
| | | | – | 1 | 1 | 9 | |
| | | | | | | 6 | 2 |
| | | | | | – | 5 | 1 |
| | | | | | | 1 | 1 |
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