Question
What is the quotient and remainder when $ 8456 $ is divided by $ 54 $ ?
Answer
The quotient is 156 and the remainder is 32.
Explanation
| Division Table | |||||
| 0 | 1 | 5 | 6 | ||
| 5 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | ||||
| 8 | 4 | ||||
| – | 5 | 4 | |||
| 3 | 0 | 5 | |||
| – | 2 | 7 | 0 | ||
| 3 | 5 | 6 | |||
| – | 3 | 2 | 4 | ||
| 3 | 2 | ||||
|
STEP 0: set up a division table |
|||||
| 5 | 4 | 8 | 4 | 5 | 6 |
|
STEP 1: DIVIDE 8 : 54 = 0 with a remainder of 8 |
|||||
| 0 | |||||
| 5 | 4 | 8 | 4 | 5 | 6 |
|
STEP 2: MULTIPLY 0 · 54 = 0 |
|||||
| 0 | |||||
| 5 | 4 | 8 | 4 | 5 | 6 |
| 0 | |||||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
|||||
| 0 | |||||
| 5 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | ||||
| 8 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 5 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | ||||
| 8 | 4 | ||||
|
STEP 5: DIVIDE 84 : 54 = 1 with a remainder of 30 |
|||||
| 0 | 1 | ||||
| 5 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | ||||
| 8 | 4 | ||||
|
STEP 6: MULTIPLY 1 · 54 = 54 |
|||||
| 0 | 1 | ||||
| 5 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | ||||
| 8 | 4 | ||||
| 5 | 4 | ||||
|
STEP 7: SUBTRACT 84 - 54 = 30 |
|||||
| 0 | 1 | ||||
| 5 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | ||||
| 8 | 4 | ||||
| – | 5 | 4 | |||
| 3 | 0 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 1 | ||||
| 5 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | ||||
| 8 | 4 | ||||
| – | 5 | 4 | |||
| 3 | 0 | 5 | |||
|
STEP 9: DIVIDE 305 : 54 = 5 with a remainder of 35 |
|||||
| 0 | 1 | 5 | |||
| 5 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | ||||
| 8 | 4 | ||||
| – | 5 | 4 | |||
| 3 | 0 | 5 | |||
|
STEP 10: MULTIPLY 5 · 54 = 270 |
|||||
| 0 | 1 | 5 | |||
| 5 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | ||||
| 8 | 4 | ||||
| – | 5 | 4 | |||
| 3 | 0 | 5 | |||
| 2 | 7 | 0 | |||
|
STEP 11: SUBTRACT 305 - 270 = 35 |
|||||
| 0 | 1 | 5 | |||
| 5 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | ||||
| 8 | 4 | ||||
| – | 5 | 4 | |||
| 3 | 0 | 5 | |||
| – | 2 | 7 | 0 | ||
| 3 | 5 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 1 | 5 | |||
| 5 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | ||||
| 8 | 4 | ||||
| – | 5 | 4 | |||
| 3 | 0 | 5 | |||
| – | 2 | 7 | 0 | ||
| 3 | 5 | 6 | |||
|
STEP 13: DIVIDE 356 : 54 = 6 with a remainder of 32 |
|||||
| 0 | 1 | 5 | 6 | ||
| 5 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | ||||
| 8 | 4 | ||||
| – | 5 | 4 | |||
| 3 | 0 | 5 | |||
| – | 2 | 7 | 0 | ||
| 3 | 5 | 6 | |||
|
STEP 14: MULTIPLY 6 · 54 = 324 |
|||||
| 0 | 1 | 5 | 6 | ||
| 5 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | ||||
| 8 | 4 | ||||
| – | 5 | 4 | |||
| 3 | 0 | 5 | |||
| – | 2 | 7 | 0 | ||
| 3 | 5 | 6 | |||
| 3 | 2 | 4 | |||
|
STEP 15: SUBTRACT 356 - 324 = 32 |
|||||
| 0 | 1 | 5 | 6 | ||
| 5 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | ||||
| 8 | 4 | ||||
| – | 5 | 4 | |||
| 3 | 0 | 5 | |||
| – | 2 | 7 | 0 | ||
| 3 | 5 | 6 | |||
| – | 3 | 2 | 4 | ||
| 3 | 2 | ||||
|
STEP 15: SUBTRACT 356 - 324 = 32 |
|||||
| 0 | 1 | 5 | 6 | ||
| 5 | 4 | 8 | 4 | 5 | 6 |
| – | 0 | ||||
| 8 | 4 | ||||
| – | 5 | 4 | |||
| 3 | 0 | 5 | |||
| – | 2 | 7 | 0 | ||
| 3 | 5 | 6 | |||
| – | 3 | 2 | 4 | ||
| 3 | 2 | ||||
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