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What is the quotient and remainder when $ 18304 $ is divided by $ 52 $ ?
Answer
The quotient is 352 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 0 | 3 | 5 | 2 |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | 8 | | | |
| | – | 0 | | | |
| | 1 | 8 | 3 | | |
| – | 1 | 5 | 6 | | |
| | | 2 | 7 | 0 | |
| | – | 2 | 6 | 0 | |
| | | | 1 | 0 | 4 |
| | | – | 1 | 0 | 4 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
STEP 1: DIVIDE 1 : 52 = 0 with a remainder of 1
|
| | 0 | | | | |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
STEP 2: MULTIPLY 0 · 52 = 0
|
| | 0 | | | | |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| | 0 | | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | | | |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | | | | |
STEP 4: BRING DOWN
|
| | 0 | | | | |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | 8 | | | |
STEP 5: DIVIDE 18 : 52 = 0 with a remainder of 18
|
| | 0 | 0 | | | |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | 8 | | | |
STEP 6: MULTIPLY 0 · 52 = 0
|
| | 0 | 0 | | | |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | 8 | | | |
| | | 0 | | | |
STEP 7: SUBTRACT 18 - 0 = 18
|
| | 0 | 0 | | | |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | 8 | | | |
| | – | 0 | | | |
| | 1 | 8 | | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | | |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | 8 | | | |
| | – | 0 | | | |
| | 1 | 8 | 3 | | |
STEP 9: DIVIDE 183 : 52 = 3 with a remainder of 27
|
| | 0 | 0 | 3 | | |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | 8 | | | |
| | – | 0 | | | |
| | 1 | 8 | 3 | | |
STEP 10: MULTIPLY 3 · 52 = 156
|
| | 0 | 0 | 3 | | |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | 8 | | | |
| | – | 0 | | | |
| | 1 | 8 | 3 | | |
| | 1 | 5 | 6 | | |
STEP 11: SUBTRACT 183 - 156 = 27
|
| | 0 | 0 | 3 | | |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | 8 | | | |
| | – | 0 | | | |
| | 1 | 8 | 3 | | |
| – | 1 | 5 | 6 | | |
| | | 2 | 7 | | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 3 | | |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | 8 | | | |
| | – | 0 | | | |
| | 1 | 8 | 3 | | |
| – | 1 | 5 | 6 | | |
| | | 2 | 7 | 0 | |
STEP 13: DIVIDE 270 : 52 = 5 with a remainder of 10
|
| | 0 | 0 | 3 | 5 | |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | 8 | | | |
| | – | 0 | | | |
| | 1 | 8 | 3 | | |
| – | 1 | 5 | 6 | | |
| | | 2 | 7 | 0 | |
STEP 14: MULTIPLY 5 · 52 = 260
|
| | 0 | 0 | 3 | 5 | |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | 8 | | | |
| | – | 0 | | | |
| | 1 | 8 | 3 | | |
| – | 1 | 5 | 6 | | |
| | | 2 | 7 | 0 | |
| | | 2 | 6 | 0 | |
STEP 15: SUBTRACT 270 - 260 = 10
|
| | 0 | 0 | 3 | 5 | |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | 8 | | | |
| | – | 0 | | | |
| | 1 | 8 | 3 | | |
| – | 1 | 5 | 6 | | |
| | | 2 | 7 | 0 | |
| | – | 2 | 6 | 0 | |
| | | | 1 | 0 | |
STEP 16: BRING DOWN
|
| | 0 | 0 | 3 | 5 | |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | 8 | | | |
| | – | 0 | | | |
| | 1 | 8 | 3 | | |
| – | 1 | 5 | 6 | | |
| | | 2 | 7 | 0 | |
| | – | 2 | 6 | 0 | |
| | | | 1 | 0 | 4 |
STEP 17: DIVIDE 104 : 52 = 2 with a remainder of 0
|
| | 0 | 0 | 3 | 5 | 2 |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | 8 | | | |
| | – | 0 | | | |
| | 1 | 8 | 3 | | |
| – | 1 | 5 | 6 | | |
| | | 2 | 7 | 0 | |
| | – | 2 | 6 | 0 | |
| | | | 1 | 0 | 4 |
STEP 18: MULTIPLY 2 · 52 = 104
|
| | 0 | 0 | 3 | 5 | 2 |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | 8 | | | |
| | – | 0 | | | |
| | 1 | 8 | 3 | | |
| – | 1 | 5 | 6 | | |
| | | 2 | 7 | 0 | |
| | – | 2 | 6 | 0 | |
| | | | 1 | 0 | 4 |
| | | | 1 | 0 | 4 |
STEP 19: SUBTRACT 104 - 104 = 0
|
| | 0 | 0 | 3 | 5 | 2 |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | 8 | | | |
| | – | 0 | | | |
| | 1 | 8 | 3 | | |
| – | 1 | 5 | 6 | | |
| | | 2 | 7 | 0 | |
| | – | 2 | 6 | 0 | |
| | | | 1 | 0 | 4 |
| | | – | 1 | 0 | 4 |
| | | | | | 0 |
STEP 19: SUBTRACT 104 - 104 = 0
|
| | 0 | 0 | 3 | 5 | 2 |
5 | 2 | 1 | 8 | 3 | 0 | 4 |
| – | 0 | | | | |
| | 1 | 8 | | | |
| | – | 0 | | | |
| | 1 | 8 | 3 | | |
| – | 1 | 5 | 6 | | |
| | | 2 | 7 | 0 | |
| | – | 2 | 6 | 0 | |
| | | | 1 | 0 | 4 |
| | | – | 1 | 0 | 4 |
| | | | | | 0 |
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