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What is the quotient and remainder when $ 8492 $ is divided by $ 56 $ ?
Answer
The quotient is 151 and the remainder is 36.
Explanation
Division Table
|
| | 0 | 1 | 5 | 1 |
5 | 6 | 8 | 4 | 9 | 2 |
| – | 0 | | | |
| | 8 | 4 | | |
| – | 5 | 6 | | |
| | 2 | 8 | 9 | |
| – | 2 | 8 | 0 | |
| | | | 9 | 2 |
| | | – | 5 | 6 |
| | | | 3 | 6 |
STEP 0: set up a division table
|
| | | | | |
5 | 6 | 8 | 4 | 9 | 2 |
STEP 1: DIVIDE 8 : 56 = 0 with a remainder of 8
|
| | 0 | | | |
5 | 6 | 8 | 4 | 9 | 2 |
STEP 2: MULTIPLY 0 · 56 = 0
|
| | 0 | | | |
5 | 6 | 8 | 4 | 9 | 2 |
| | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | 0 | | | |
5 | 6 | 8 | 4 | 9 | 2 |
| – | 0 | | | |
| | 8 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
5 | 6 | 8 | 4 | 9 | 2 |
| – | 0 | | | |
| | 8 | 4 | | |
STEP 5: DIVIDE 84 : 56 = 1 with a remainder of 28
|
| | 0 | 1 | | |
5 | 6 | 8 | 4 | 9 | 2 |
| – | 0 | | | |
| | 8 | 4 | | |
STEP 6: MULTIPLY 1 · 56 = 56
|
| | 0 | 1 | | |
5 | 6 | 8 | 4 | 9 | 2 |
| – | 0 | | | |
| | 8 | 4 | | |
| | 5 | 6 | | |
STEP 7: SUBTRACT 84 - 56 = 28
|
| | 0 | 1 | | |
5 | 6 | 8 | 4 | 9 | 2 |
| – | 0 | | | |
| | 8 | 4 | | |
| – | 5 | 6 | | |
| | 2 | 8 | | |
STEP 8: BRING DOWN
|
| | 0 | 1 | | |
5 | 6 | 8 | 4 | 9 | 2 |
| – | 0 | | | |
| | 8 | 4 | | |
| – | 5 | 6 | | |
| | 2 | 8 | 9 | |
STEP 9: DIVIDE 289 : 56 = 5 with a remainder of 9
|
| | 0 | 1 | 5 | |
5 | 6 | 8 | 4 | 9 | 2 |
| – | 0 | | | |
| | 8 | 4 | | |
| – | 5 | 6 | | |
| | 2 | 8 | 9 | |
STEP 10: MULTIPLY 5 · 56 = 280
|
| | 0 | 1 | 5 | |
5 | 6 | 8 | 4 | 9 | 2 |
| – | 0 | | | |
| | 8 | 4 | | |
| – | 5 | 6 | | |
| | 2 | 8 | 9 | |
| | 2 | 8 | 0 | |
STEP 11: SUBTRACT 289 - 280 = 9
|
| | 0 | 1 | 5 | |
5 | 6 | 8 | 4 | 9 | 2 |
| – | 0 | | | |
| | 8 | 4 | | |
| – | 5 | 6 | | |
| | 2 | 8 | 9 | |
| – | 2 | 8 | 0 | |
| | | | 9 | |
STEP 12: BRING DOWN
|
| | 0 | 1 | 5 | |
5 | 6 | 8 | 4 | 9 | 2 |
| – | 0 | | | |
| | 8 | 4 | | |
| – | 5 | 6 | | |
| | 2 | 8 | 9 | |
| – | 2 | 8 | 0 | |
| | | | 9 | 2 |
STEP 13: DIVIDE 92 : 56 = 1 with a remainder of 36
|
| | 0 | 1 | 5 | 1 |
5 | 6 | 8 | 4 | 9 | 2 |
| – | 0 | | | |
| | 8 | 4 | | |
| – | 5 | 6 | | |
| | 2 | 8 | 9 | |
| – | 2 | 8 | 0 | |
| | | | 9 | 2 |
STEP 14: MULTIPLY 1 · 56 = 56
|
| | 0 | 1 | 5 | 1 |
5 | 6 | 8 | 4 | 9 | 2 |
| – | 0 | | | |
| | 8 | 4 | | |
| – | 5 | 6 | | |
| | 2 | 8 | 9 | |
| – | 2 | 8 | 0 | |
| | | | 9 | 2 |
| | | | 5 | 6 |
STEP 15: SUBTRACT 92 - 56 = 36
|
| | 0 | 1 | 5 | 1 |
5 | 6 | 8 | 4 | 9 | 2 |
| – | 0 | | | |
| | 8 | 4 | | |
| – | 5 | 6 | | |
| | 2 | 8 | 9 | |
| – | 2 | 8 | 0 | |
| | | | 9 | 2 |
| | | – | 5 | 6 |
| | | | 3 | 6 |
STEP 15: SUBTRACT 92 - 56 = 36
|
| | 0 | 1 | 5 | 1 |
5 | 6 | 8 | 4 | 9 | 2 |
| – | 0 | | | |
| | 8 | 4 | | |
| – | 5 | 6 | | |
| | 2 | 8 | 9 | |
| – | 2 | 8 | 0 | |
| | | | 9 | 2 |
| | | – | 5 | 6 |
| | | | 3 | 6 |
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