Question
What is the quotient and remainder when $ 543 $ is divided by $ 113 $ ?
Answer
The quotient is 4 and the remainder is 91.
Explanation
| Division Table | |||||
| 0 | 0 | 4 | |||
| 1 | 1 | 3 | 5 | 4 | 3 |
| – | 0 | ||||
| 5 | 4 | ||||
| – | 0 | ||||
| 5 | 4 | 3 | |||
| – | 4 | 5 | 2 | ||
| 9 | 1 | ||||
|
STEP 0: set up a division table |
|||||
| 1 | 1 | 3 | 5 | 4 | 3 |
|
STEP 1: DIVIDE 5 : 113 = 0 with a remainder of 5 |
|||||
| 0 | |||||
| 1 | 1 | 3 | 5 | 4 | 3 |
|
STEP 2: MULTIPLY 0 · 113 = 0 |
|||||
| 0 | |||||
| 1 | 1 | 3 | 5 | 4 | 3 |
| 0 | |||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
|||||
| 0 | |||||
| 1 | 1 | 3 | 5 | 4 | 3 |
| – | 0 | ||||
| 5 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 1 | 1 | 3 | 5 | 4 | 3 |
| – | 0 | ||||
| 5 | 4 | ||||
|
STEP 5: DIVIDE 54 : 113 = 0 with a remainder of 54 |
|||||
| 0 | 0 | ||||
| 1 | 1 | 3 | 5 | 4 | 3 |
| – | 0 | ||||
| 5 | 4 | ||||
|
STEP 6: MULTIPLY 0 · 113 = 0 |
|||||
| 0 | 0 | ||||
| 1 | 1 | 3 | 5 | 4 | 3 |
| – | 0 | ||||
| 5 | 4 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 54 - 0 = 54 |
|||||
| 0 | 0 | ||||
| 1 | 1 | 3 | 5 | 4 | 3 |
| – | 0 | ||||
| 5 | 4 | ||||
| – | 0 | ||||
| 5 | 4 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 1 | 1 | 3 | 5 | 4 | 3 |
| – | 0 | ||||
| 5 | 4 | ||||
| – | 0 | ||||
| 5 | 4 | 3 | |||
|
STEP 9: DIVIDE 543 : 113 = 4 with a remainder of 91 |
|||||
| 0 | 0 | 4 | |||
| 1 | 1 | 3 | 5 | 4 | 3 |
| – | 0 | ||||
| 5 | 4 | ||||
| – | 0 | ||||
| 5 | 4 | 3 | |||
|
STEP 10: MULTIPLY 4 · 113 = 452 |
|||||
| 0 | 0 | 4 | |||
| 1 | 1 | 3 | 5 | 4 | 3 |
| – | 0 | ||||
| 5 | 4 | ||||
| – | 0 | ||||
| 5 | 4 | 3 | |||
| 4 | 5 | 2 | |||
|
STEP 11: SUBTRACT 543 - 452 = 91 |
|||||
| 0 | 0 | 4 | |||
| 1 | 1 | 3 | 5 | 4 | 3 |
| – | 0 | ||||
| 5 | 4 | ||||
| – | 0 | ||||
| 5 | 4 | 3 | |||
| – | 4 | 5 | 2 | ||
| 9 | 1 | ||||
|
STEP 11: SUBTRACT 543 - 452 = 91 |
|||||
| 0 | 0 | 4 | |||
| 1 | 1 | 3 | 5 | 4 | 3 |
| – | 0 | ||||
| 5 | 4 | ||||
| – | 0 | ||||
| 5 | 4 | 3 | |||
| – | 4 | 5 | 2 | ||
| 9 | 1 | ||||
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