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What is the quotient and remainder when $ 3169 $ is divided by $ 39 $ ?
Answer
The quotient is 81 and the remainder is 10.
Explanation
Division Table
|
| | 0 | 0 | 8 | 1 |
3 | 9 | 3 | 1 | 6 | 9 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 6 | |
| – | 3 | 1 | 2 | |
| | | | 4 | 9 |
| | | – | 3 | 9 |
| | | | 1 | 0 |
STEP 0: set up a division table
|
| | | | | |
3 | 9 | 3 | 1 | 6 | 9 |
STEP 1: DIVIDE 3 : 39 = 0 with a remainder of 3
|
| | 0 | | | |
3 | 9 | 3 | 1 | 6 | 9 |
STEP 2: MULTIPLY 0 · 39 = 0
|
| | 0 | | | |
3 | 9 | 3 | 1 | 6 | 9 |
| | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | | |
3 | 9 | 3 | 1 | 6 | 9 |
| – | 0 | | | |
| | 3 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
3 | 9 | 3 | 1 | 6 | 9 |
| – | 0 | | | |
| | 3 | 1 | | |
STEP 5: DIVIDE 31 : 39 = 0 with a remainder of 31
|
| | 0 | 0 | | |
3 | 9 | 3 | 1 | 6 | 9 |
| – | 0 | | | |
| | 3 | 1 | | |
STEP 6: MULTIPLY 0 · 39 = 0
|
| | 0 | 0 | | |
3 | 9 | 3 | 1 | 6 | 9 |
| – | 0 | | | |
| | 3 | 1 | | |
| | | 0 | | |
STEP 7: SUBTRACT 31 - 0 = 31
|
| | 0 | 0 | | |
3 | 9 | 3 | 1 | 6 | 9 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
3 | 9 | 3 | 1 | 6 | 9 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 6 | |
STEP 9: DIVIDE 316 : 39 = 8 with a remainder of 4
|
| | 0 | 0 | 8 | |
3 | 9 | 3 | 1 | 6 | 9 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 6 | |
STEP 10: MULTIPLY 8 · 39 = 312
|
| | 0 | 0 | 8 | |
3 | 9 | 3 | 1 | 6 | 9 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 6 | |
| | 3 | 1 | 2 | |
STEP 11: SUBTRACT 316 - 312 = 4
|
| | 0 | 0 | 8 | |
3 | 9 | 3 | 1 | 6 | 9 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 6 | |
| – | 3 | 1 | 2 | |
| | | | 4 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 8 | |
3 | 9 | 3 | 1 | 6 | 9 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 6 | |
| – | 3 | 1 | 2 | |
| | | | 4 | 9 |
STEP 13: DIVIDE 49 : 39 = 1 with a remainder of 10
|
| | 0 | 0 | 8 | 1 |
3 | 9 | 3 | 1 | 6 | 9 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 6 | |
| – | 3 | 1 | 2 | |
| | | | 4 | 9 |
STEP 14: MULTIPLY 1 · 39 = 39
|
| | 0 | 0 | 8 | 1 |
3 | 9 | 3 | 1 | 6 | 9 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 6 | |
| – | 3 | 1 | 2 | |
| | | | 4 | 9 |
| | | | 3 | 9 |
STEP 15: SUBTRACT 49 - 39 = 10
|
| | 0 | 0 | 8 | 1 |
3 | 9 | 3 | 1 | 6 | 9 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 6 | |
| – | 3 | 1 | 2 | |
| | | | 4 | 9 |
| | | – | 3 | 9 |
| | | | 1 | 0 |
STEP 15: SUBTRACT 49 - 39 = 10
|
| | 0 | 0 | 8 | 1 |
3 | 9 | 3 | 1 | 6 | 9 |
| – | 0 | | | |
| | 3 | 1 | | |
| | – | 0 | | |
| | 3 | 1 | 6 | |
| – | 3 | 1 | 2 | |
| | | | 4 | 9 |
| | | – | 3 | 9 |
| | | | 1 | 0 |
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