Question
What is the quotient and remainder when $ 8031 $ is divided by $ 384 $ ?
Answer
The quotient is 20 and the remainder is 351.
Explanation
| Division Table | ||||||
| 0 | 0 | 2 | 0 | |||
| 3 | 8 | 4 | 8 | 0 | 3 | 1 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 0 | |||||
| 8 | 0 | 3 | ||||
| – | 7 | 6 | 8 | |||
| 3 | 5 | 1 | ||||
| – | 0 | |||||
| 3 | 5 | 1 | ||||
|
STEP 0: set up a division table |
||||||
| 3 | 8 | 4 | 8 | 0 | 3 | 1 |
|
STEP 1: DIVIDE 8 : 384 = 0 with a remainder of 8 |
||||||
| 0 | ||||||
| 3 | 8 | 4 | 8 | 0 | 3 | 1 |
|
STEP 2: MULTIPLY 0 · 384 = 0 |
||||||
| 0 | ||||||
| 3 | 8 | 4 | 8 | 0 | 3 | 1 |
| 0 | ||||||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
||||||
| 0 | ||||||
| 3 | 8 | 4 | 8 | 0 | 3 | 1 |
| – | 0 | |||||
| 8 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 3 | 8 | 4 | 8 | 0 | 3 | 1 |
| – | 0 | |||||
| 8 | 0 | |||||
|
STEP 5: DIVIDE 80 : 384 = 0 with a remainder of 80 |
||||||
| 0 | 0 | |||||
| 3 | 8 | 4 | 8 | 0 | 3 | 1 |
| – | 0 | |||||
| 8 | 0 | |||||
|
STEP 6: MULTIPLY 0 · 384 = 0 |
||||||
| 0 | 0 | |||||
| 3 | 8 | 4 | 8 | 0 | 3 | 1 |
| – | 0 | |||||
| 8 | 0 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 80 - 0 = 80 |
||||||
| 0 | 0 | |||||
| 3 | 8 | 4 | 8 | 0 | 3 | 1 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 0 | |||||
| 8 | 0 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 3 | 8 | 4 | 8 | 0 | 3 | 1 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 0 | |||||
| 8 | 0 | 3 | ||||
|
STEP 9: DIVIDE 803 : 384 = 2 with a remainder of 35 |
||||||
| 0 | 0 | 2 | ||||
| 3 | 8 | 4 | 8 | 0 | 3 | 1 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 0 | |||||
| 8 | 0 | 3 | ||||
|
STEP 10: MULTIPLY 2 · 384 = 768 |
||||||
| 0 | 0 | 2 | ||||
| 3 | 8 | 4 | 8 | 0 | 3 | 1 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 0 | |||||
| 8 | 0 | 3 | ||||
| 7 | 6 | 8 | ||||
|
STEP 11: SUBTRACT 803 - 768 = 35 |
||||||
| 0 | 0 | 2 | ||||
| 3 | 8 | 4 | 8 | 0 | 3 | 1 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 0 | |||||
| 8 | 0 | 3 | ||||
| – | 7 | 6 | 8 | |||
| 3 | 5 | |||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 2 | ||||
| 3 | 8 | 4 | 8 | 0 | 3 | 1 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 0 | |||||
| 8 | 0 | 3 | ||||
| – | 7 | 6 | 8 | |||
| 3 | 5 | 1 | ||||
|
STEP 13: DIVIDE 351 : 384 = 0 with a remainder of 351 |
||||||
| 0 | 0 | 2 | 0 | |||
| 3 | 8 | 4 | 8 | 0 | 3 | 1 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 0 | |||||
| 8 | 0 | 3 | ||||
| – | 7 | 6 | 8 | |||
| 3 | 5 | 1 | ||||
|
STEP 14: MULTIPLY 0 · 384 = 0 |
||||||
| 0 | 0 | 2 | 0 | |||
| 3 | 8 | 4 | 8 | 0 | 3 | 1 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 0 | |||||
| 8 | 0 | 3 | ||||
| – | 7 | 6 | 8 | |||
| 3 | 5 | 1 | ||||
| 0 | ||||||
|
STEP 15: SUBTRACT 351 - 0 = 351 |
||||||
| 0 | 0 | 2 | 0 | |||
| 3 | 8 | 4 | 8 | 0 | 3 | 1 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 0 | |||||
| 8 | 0 | 3 | ||||
| – | 7 | 6 | 8 | |||
| 3 | 5 | 1 | ||||
| – | 0 | |||||
| 3 | 5 | 1 | ||||
|
STEP 15: SUBTRACT 351 - 0 = 351 |
||||||
| 0 | 0 | 2 | 0 | |||
| 3 | 8 | 4 | 8 | 0 | 3 | 1 |
| – | 0 | |||||
| 8 | 0 | |||||
| – | 0 | |||||
| 8 | 0 | 3 | ||||
| – | 7 | 6 | 8 | |||
| 3 | 5 | 1 | ||||
| – | 0 | |||||
| 3 | 5 | 1 | ||||
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