Question
What is the quotient and remainder when $ 5476 $ is divided by $ 74 $ ?
Answer
The quotient is 74 and the remainder is 0.
Explanation
| Division Table | |||||
| 0 | 0 | 7 | 4 | ||
| 7 | 4 | 5 | 4 | 7 | 6 |
| – | 0 | ||||
| 5 | 4 | ||||
| – | 0 | ||||
| 5 | 4 | 7 | |||
| – | 5 | 1 | 8 | ||
| 2 | 9 | 6 | |||
| – | 2 | 9 | 6 | ||
| 0 | |||||
|
STEP 0: set up a division table |
|||||
| 7 | 4 | 5 | 4 | 7 | 6 |
|
STEP 1: DIVIDE 5 : 74 = 0 with a remainder of 5 |
|||||
| 0 | |||||
| 7 | 4 | 5 | 4 | 7 | 6 |
|
STEP 2: MULTIPLY 0 · 74 = 0 |
|||||
| 0 | |||||
| 7 | 4 | 5 | 4 | 7 | 6 |
| 0 | |||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
|||||
| 0 | |||||
| 7 | 4 | 5 | 4 | 7 | 6 |
| – | 0 | ||||
| 5 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 7 | 4 | 5 | 4 | 7 | 6 |
| – | 0 | ||||
| 5 | 4 | ||||
|
STEP 5: DIVIDE 54 : 74 = 0 with a remainder of 54 |
|||||
| 0 | 0 | ||||
| 7 | 4 | 5 | 4 | 7 | 6 |
| – | 0 | ||||
| 5 | 4 | ||||
|
STEP 6: MULTIPLY 0 · 74 = 0 |
|||||
| 0 | 0 | ||||
| 7 | 4 | 5 | 4 | 7 | 6 |
| – | 0 | ||||
| 5 | 4 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 54 - 0 = 54 |
|||||
| 0 | 0 | ||||
| 7 | 4 | 5 | 4 | 7 | 6 |
| – | 0 | ||||
| 5 | 4 | ||||
| – | 0 | ||||
| 5 | 4 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 7 | 4 | 5 | 4 | 7 | 6 |
| – | 0 | ||||
| 5 | 4 | ||||
| – | 0 | ||||
| 5 | 4 | 7 | |||
|
STEP 9: DIVIDE 547 : 74 = 7 with a remainder of 29 |
|||||
| 0 | 0 | 7 | |||
| 7 | 4 | 5 | 4 | 7 | 6 |
| – | 0 | ||||
| 5 | 4 | ||||
| – | 0 | ||||
| 5 | 4 | 7 | |||
|
STEP 10: MULTIPLY 7 · 74 = 518 |
|||||
| 0 | 0 | 7 | |||
| 7 | 4 | 5 | 4 | 7 | 6 |
| – | 0 | ||||
| 5 | 4 | ||||
| – | 0 | ||||
| 5 | 4 | 7 | |||
| 5 | 1 | 8 | |||
|
STEP 11: SUBTRACT 547 - 518 = 29 |
|||||
| 0 | 0 | 7 | |||
| 7 | 4 | 5 | 4 | 7 | 6 |
| – | 0 | ||||
| 5 | 4 | ||||
| – | 0 | ||||
| 5 | 4 | 7 | |||
| – | 5 | 1 | 8 | ||
| 2 | 9 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 7 | |||
| 7 | 4 | 5 | 4 | 7 | 6 |
| – | 0 | ||||
| 5 | 4 | ||||
| – | 0 | ||||
| 5 | 4 | 7 | |||
| – | 5 | 1 | 8 | ||
| 2 | 9 | 6 | |||
|
STEP 13: DIVIDE 296 : 74 = 4 with a remainder of 0 |
|||||
| 0 | 0 | 7 | 4 | ||
| 7 | 4 | 5 | 4 | 7 | 6 |
| – | 0 | ||||
| 5 | 4 | ||||
| – | 0 | ||||
| 5 | 4 | 7 | |||
| – | 5 | 1 | 8 | ||
| 2 | 9 | 6 | |||
|
STEP 14: MULTIPLY 4 · 74 = 296 |
|||||
| 0 | 0 | 7 | 4 | ||
| 7 | 4 | 5 | 4 | 7 | 6 |
| – | 0 | ||||
| 5 | 4 | ||||
| – | 0 | ||||
| 5 | 4 | 7 | |||
| – | 5 | 1 | 8 | ||
| 2 | 9 | 6 | |||
| 2 | 9 | 6 | |||
|
STEP 15: SUBTRACT 296 - 296 = 0 |
|||||
| 0 | 0 | 7 | 4 | ||
| 7 | 4 | 5 | 4 | 7 | 6 |
| – | 0 | ||||
| 5 | 4 | ||||
| – | 0 | ||||
| 5 | 4 | 7 | |||
| – | 5 | 1 | 8 | ||
| 2 | 9 | 6 | |||
| – | 2 | 9 | 6 | ||
| 0 | |||||
|
STEP 15: SUBTRACT 296 - 296 = 0 |
|||||
| 0 | 0 | 7 | 4 | ||
| 7 | 4 | 5 | 4 | 7 | 6 |
| – | 0 | ||||
| 5 | 4 | ||||
| – | 0 | ||||
| 5 | 4 | 7 | |||
| – | 5 | 1 | 8 | ||
| 2 | 9 | 6 | |||
| – | 2 | 9 | 6 | ||
| 0 | |||||
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