Question
What is the quotient and remainder when $ 5432 $ is divided by $ 861 $ ?
Answer
The quotient is 6 and the remainder is 266.
Explanation
| Division Table | ||||||
| 0 | 0 | 0 | 6 | |||
| 8 | 6 | 1 | 5 | 4 | 3 | 2 |
| – | 0 | |||||
| 5 | 4 | |||||
| – | 0 | |||||
| 5 | 4 | 3 | ||||
| – | 0 | |||||
| 5 | 4 | 3 | 2 | |||
| – | 5 | 1 | 6 | 6 | ||
| 2 | 6 | 6 | ||||
|
STEP 0: set up a division table |
||||||
| 8 | 6 | 1 | 5 | 4 | 3 | 2 |
|
STEP 1: DIVIDE 5 : 861 = 0 with a remainder of 5 |
||||||
| 0 | ||||||
| 8 | 6 | 1 | 5 | 4 | 3 | 2 |
|
STEP 2: MULTIPLY 0 · 861 = 0 |
||||||
| 0 | ||||||
| 8 | 6 | 1 | 5 | 4 | 3 | 2 |
| 0 | ||||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
||||||
| 0 | ||||||
| 8 | 6 | 1 | 5 | 4 | 3 | 2 |
| – | 0 | |||||
| 5 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 8 | 6 | 1 | 5 | 4 | 3 | 2 |
| – | 0 | |||||
| 5 | 4 | |||||
|
STEP 5: DIVIDE 54 : 861 = 0 with a remainder of 54 |
||||||
| 0 | 0 | |||||
| 8 | 6 | 1 | 5 | 4 | 3 | 2 |
| – | 0 | |||||
| 5 | 4 | |||||
|
STEP 6: MULTIPLY 0 · 861 = 0 |
||||||
| 0 | 0 | |||||
| 8 | 6 | 1 | 5 | 4 | 3 | 2 |
| – | 0 | |||||
| 5 | 4 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 54 - 0 = 54 |
||||||
| 0 | 0 | |||||
| 8 | 6 | 1 | 5 | 4 | 3 | 2 |
| – | 0 | |||||
| 5 | 4 | |||||
| – | 0 | |||||
| 5 | 4 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 8 | 6 | 1 | 5 | 4 | 3 | 2 |
| – | 0 | |||||
| 5 | 4 | |||||
| – | 0 | |||||
| 5 | 4 | 3 | ||||
|
STEP 9: DIVIDE 543 : 861 = 0 with a remainder of 543 |
||||||
| 0 | 0 | 0 | ||||
| 8 | 6 | 1 | 5 | 4 | 3 | 2 |
| – | 0 | |||||
| 5 | 4 | |||||
| – | 0 | |||||
| 5 | 4 | 3 | ||||
|
STEP 10: MULTIPLY 0 · 861 = 0 |
||||||
| 0 | 0 | 0 | ||||
| 8 | 6 | 1 | 5 | 4 | 3 | 2 |
| – | 0 | |||||
| 5 | 4 | |||||
| – | 0 | |||||
| 5 | 4 | 3 | ||||
| 0 | ||||||
|
STEP 11: SUBTRACT 543 - 0 = 543 |
||||||
| 0 | 0 | 0 | ||||
| 8 | 6 | 1 | 5 | 4 | 3 | 2 |
| – | 0 | |||||
| 5 | 4 | |||||
| – | 0 | |||||
| 5 | 4 | 3 | ||||
| – | 0 | |||||
| 5 | 4 | 3 | ||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 0 | ||||
| 8 | 6 | 1 | 5 | 4 | 3 | 2 |
| – | 0 | |||||
| 5 | 4 | |||||
| – | 0 | |||||
| 5 | 4 | 3 | ||||
| – | 0 | |||||
| 5 | 4 | 3 | 2 | |||
|
STEP 13: DIVIDE 5432 : 861 = 6 with a remainder of 266 |
||||||
| 0 | 0 | 0 | 6 | |||
| 8 | 6 | 1 | 5 | 4 | 3 | 2 |
| – | 0 | |||||
| 5 | 4 | |||||
| – | 0 | |||||
| 5 | 4 | 3 | ||||
| – | 0 | |||||
| 5 | 4 | 3 | 2 | |||
|
STEP 14: MULTIPLY 6 · 861 = 5166 |
||||||
| 0 | 0 | 0 | 6 | |||
| 8 | 6 | 1 | 5 | 4 | 3 | 2 |
| – | 0 | |||||
| 5 | 4 | |||||
| – | 0 | |||||
| 5 | 4 | 3 | ||||
| – | 0 | |||||
| 5 | 4 | 3 | 2 | |||
| 5 | 1 | 6 | 6 | |||
|
STEP 15: SUBTRACT 5432 - 5166 = 266 |
||||||
| 0 | 0 | 0 | 6 | |||
| 8 | 6 | 1 | 5 | 4 | 3 | 2 |
| – | 0 | |||||
| 5 | 4 | |||||
| – | 0 | |||||
| 5 | 4 | 3 | ||||
| – | 0 | |||||
| 5 | 4 | 3 | 2 | |||
| – | 5 | 1 | 6 | 6 | ||
| 2 | 6 | 6 | ||||
|
STEP 15: SUBTRACT 5432 - 5166 = 266 |
||||||
| 0 | 0 | 0 | 6 | |||
| 8 | 6 | 1 | 5 | 4 | 3 | 2 |
| – | 0 | |||||
| 5 | 4 | |||||
| – | 0 | |||||
| 5 | 4 | 3 | ||||
| – | 0 | |||||
| 5 | 4 | 3 | 2 | |||
| – | 5 | 1 | 6 | 6 | ||
| 2 | 6 | 6 | ||||
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