Question
What is the quotient and remainder when $ 9410 $ is divided by $ 55 $ ?
Answer
The quotient is 171 and the remainder is 5.
Explanation
| Division Table | |||||
| 0 | 1 | 7 | 1 | ||
| 5 | 5 | 9 | 4 | 1 | 0 |
| – | 0 | ||||
| 9 | 4 | ||||
| – | 5 | 5 | |||
| 3 | 9 | 1 | |||
| – | 3 | 8 | 5 | ||
| 6 | 0 | ||||
| – | 5 | 5 | |||
| 5 | |||||
|
STEP 0: set up a division table |
|||||
| 5 | 5 | 9 | 4 | 1 | 0 |
|
STEP 1: DIVIDE 9 : 55 = 0 with a remainder of 9 |
|||||
| 0 | |||||
| 5 | 5 | 9 | 4 | 1 | 0 |
|
STEP 2: MULTIPLY 0 · 55 = 0 |
|||||
| 0 | |||||
| 5 | 5 | 9 | 4 | 1 | 0 |
| 0 | |||||
|
STEP 3: SUBTRACT 9 - 0 = 9 |
|||||
| 0 | |||||
| 5 | 5 | 9 | 4 | 1 | 0 |
| – | 0 | ||||
| 9 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 5 | 5 | 9 | 4 | 1 | 0 |
| – | 0 | ||||
| 9 | 4 | ||||
|
STEP 5: DIVIDE 94 : 55 = 1 with a remainder of 39 |
|||||
| 0 | 1 | ||||
| 5 | 5 | 9 | 4 | 1 | 0 |
| – | 0 | ||||
| 9 | 4 | ||||
|
STEP 6: MULTIPLY 1 · 55 = 55 |
|||||
| 0 | 1 | ||||
| 5 | 5 | 9 | 4 | 1 | 0 |
| – | 0 | ||||
| 9 | 4 | ||||
| 5 | 5 | ||||
|
STEP 7: SUBTRACT 94 - 55 = 39 |
|||||
| 0 | 1 | ||||
| 5 | 5 | 9 | 4 | 1 | 0 |
| – | 0 | ||||
| 9 | 4 | ||||
| – | 5 | 5 | |||
| 3 | 9 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 1 | ||||
| 5 | 5 | 9 | 4 | 1 | 0 |
| – | 0 | ||||
| 9 | 4 | ||||
| – | 5 | 5 | |||
| 3 | 9 | 1 | |||
|
STEP 9: DIVIDE 391 : 55 = 7 with a remainder of 6 |
|||||
| 0 | 1 | 7 | |||
| 5 | 5 | 9 | 4 | 1 | 0 |
| – | 0 | ||||
| 9 | 4 | ||||
| – | 5 | 5 | |||
| 3 | 9 | 1 | |||
|
STEP 10: MULTIPLY 7 · 55 = 385 |
|||||
| 0 | 1 | 7 | |||
| 5 | 5 | 9 | 4 | 1 | 0 |
| – | 0 | ||||
| 9 | 4 | ||||
| – | 5 | 5 | |||
| 3 | 9 | 1 | |||
| 3 | 8 | 5 | |||
|
STEP 11: SUBTRACT 391 - 385 = 6 |
|||||
| 0 | 1 | 7 | |||
| 5 | 5 | 9 | 4 | 1 | 0 |
| – | 0 | ||||
| 9 | 4 | ||||
| – | 5 | 5 | |||
| 3 | 9 | 1 | |||
| – | 3 | 8 | 5 | ||
| 6 | |||||
| STEP 12: BRING DOWN | |||||
| 0 | 1 | 7 | |||
| 5 | 5 | 9 | 4 | 1 | 0 |
| – | 0 | ||||
| 9 | 4 | ||||
| – | 5 | 5 | |||
| 3 | 9 | 1 | |||
| – | 3 | 8 | 5 | ||
| 6 | 0 | ||||
|
STEP 13: DIVIDE 60 : 55 = 1 with a remainder of 5 |
|||||
| 0 | 1 | 7 | 1 | ||
| 5 | 5 | 9 | 4 | 1 | 0 |
| – | 0 | ||||
| 9 | 4 | ||||
| – | 5 | 5 | |||
| 3 | 9 | 1 | |||
| – | 3 | 8 | 5 | ||
| 6 | 0 | ||||
|
STEP 14: MULTIPLY 1 · 55 = 55 |
|||||
| 0 | 1 | 7 | 1 | ||
| 5 | 5 | 9 | 4 | 1 | 0 |
| – | 0 | ||||
| 9 | 4 | ||||
| – | 5 | 5 | |||
| 3 | 9 | 1 | |||
| – | 3 | 8 | 5 | ||
| 6 | 0 | ||||
| 5 | 5 | ||||
|
STEP 15: SUBTRACT 60 - 55 = 5 |
|||||
| 0 | 1 | 7 | 1 | ||
| 5 | 5 | 9 | 4 | 1 | 0 |
| – | 0 | ||||
| 9 | 4 | ||||
| – | 5 | 5 | |||
| 3 | 9 | 1 | |||
| – | 3 | 8 | 5 | ||
| 6 | 0 | ||||
| – | 5 | 5 | |||
| 5 | |||||
|
STEP 15: SUBTRACT 60 - 55 = 5 |
|||||
| 0 | 1 | 7 | 1 | ||
| 5 | 5 | 9 | 4 | 1 | 0 |
| – | 0 | ||||
| 9 | 4 | ||||
| – | 5 | 5 | |||
| 3 | 9 | 1 | |||
| – | 3 | 8 | 5 | ||
| 6 | 0 | ||||
| – | 5 | 5 | |||
| 5 | |||||
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