Question
What is the quotient and remainder when $ 5380 $ is divided by $ 61 $ ?
Answer
The quotient is 88 and the remainder is 12.
Explanation
| Division Table | |||||
| 0 | 0 | 8 | 8 | ||
| 6 | 1 | 5 | 3 | 8 | 0 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 8 | |||
| – | 4 | 8 | 8 | ||
| 5 | 0 | 0 | |||
| – | 4 | 8 | 8 | ||
| 1 | 2 | ||||
|
STEP 0: set up a division table |
|||||
| 6 | 1 | 5 | 3 | 8 | 0 |
|
STEP 1: DIVIDE 5 : 61 = 0 with a remainder of 5 |
|||||
| 0 | |||||
| 6 | 1 | 5 | 3 | 8 | 0 |
|
STEP 2: MULTIPLY 0 · 61 = 0 |
|||||
| 0 | |||||
| 6 | 1 | 5 | 3 | 8 | 0 |
| 0 | |||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
|||||
| 0 | |||||
| 6 | 1 | 5 | 3 | 8 | 0 |
| – | 0 | ||||
| 5 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 6 | 1 | 5 | 3 | 8 | 0 |
| – | 0 | ||||
| 5 | 3 | ||||
|
STEP 5: DIVIDE 53 : 61 = 0 with a remainder of 53 |
|||||
| 0 | 0 | ||||
| 6 | 1 | 5 | 3 | 8 | 0 |
| – | 0 | ||||
| 5 | 3 | ||||
|
STEP 6: MULTIPLY 0 · 61 = 0 |
|||||
| 0 | 0 | ||||
| 6 | 1 | 5 | 3 | 8 | 0 |
| – | 0 | ||||
| 5 | 3 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 53 - 0 = 53 |
|||||
| 0 | 0 | ||||
| 6 | 1 | 5 | 3 | 8 | 0 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 6 | 1 | 5 | 3 | 8 | 0 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 8 | |||
|
STEP 9: DIVIDE 538 : 61 = 8 with a remainder of 50 |
|||||
| 0 | 0 | 8 | |||
| 6 | 1 | 5 | 3 | 8 | 0 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 8 | |||
|
STEP 10: MULTIPLY 8 · 61 = 488 |
|||||
| 0 | 0 | 8 | |||
| 6 | 1 | 5 | 3 | 8 | 0 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 8 | |||
| 4 | 8 | 8 | |||
|
STEP 11: SUBTRACT 538 - 488 = 50 |
|||||
| 0 | 0 | 8 | |||
| 6 | 1 | 5 | 3 | 8 | 0 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 8 | |||
| – | 4 | 8 | 8 | ||
| 5 | 0 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 8 | |||
| 6 | 1 | 5 | 3 | 8 | 0 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 8 | |||
| – | 4 | 8 | 8 | ||
| 5 | 0 | 0 | |||
|
STEP 13: DIVIDE 500 : 61 = 8 with a remainder of 12 |
|||||
| 0 | 0 | 8 | 8 | ||
| 6 | 1 | 5 | 3 | 8 | 0 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 8 | |||
| – | 4 | 8 | 8 | ||
| 5 | 0 | 0 | |||
|
STEP 14: MULTIPLY 8 · 61 = 488 |
|||||
| 0 | 0 | 8 | 8 | ||
| 6 | 1 | 5 | 3 | 8 | 0 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 8 | |||
| – | 4 | 8 | 8 | ||
| 5 | 0 | 0 | |||
| 4 | 8 | 8 | |||
|
STEP 15: SUBTRACT 500 - 488 = 12 |
|||||
| 0 | 0 | 8 | 8 | ||
| 6 | 1 | 5 | 3 | 8 | 0 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 8 | |||
| – | 4 | 8 | 8 | ||
| 5 | 0 | 0 | |||
| – | 4 | 8 | 8 | ||
| 1 | 2 | ||||
|
STEP 15: SUBTRACT 500 - 488 = 12 |
|||||
| 0 | 0 | 8 | 8 | ||
| 6 | 1 | 5 | 3 | 8 | 0 |
| – | 0 | ||||
| 5 | 3 | ||||
| – | 0 | ||||
| 5 | 3 | 8 | |||
| – | 4 | 8 | 8 | ||
| 5 | 0 | 0 | |||
| – | 4 | 8 | 8 | ||
| 1 | 2 | ||||
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