Question
What is the quotient and remainder when $ 4512 $ is divided by $ 376 $ ?
Answer
The quotient is 12 and the remainder is 0.
Explanation
| Division Table | ||||||
| 0 | 0 | 1 | 2 | |||
| 3 | 7 | 6 | 4 | 5 | 1 | 2 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
| – | 3 | 7 | 6 | |||
| 7 | 5 | 2 | ||||
| – | 7 | 5 | 2 | |||
| 0 | ||||||
|
STEP 0: set up a division table |
||||||
| 3 | 7 | 6 | 4 | 5 | 1 | 2 |
|
STEP 1: DIVIDE 4 : 376 = 0 with a remainder of 4 |
||||||
| 0 | ||||||
| 3 | 7 | 6 | 4 | 5 | 1 | 2 |
|
STEP 2: MULTIPLY 0 · 376 = 0 |
||||||
| 0 | ||||||
| 3 | 7 | 6 | 4 | 5 | 1 | 2 |
| 0 | ||||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
||||||
| 0 | ||||||
| 3 | 7 | 6 | 4 | 5 | 1 | 2 |
| – | 0 | |||||
| 4 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 3 | 7 | 6 | 4 | 5 | 1 | 2 |
| – | 0 | |||||
| 4 | 5 | |||||
|
STEP 5: DIVIDE 45 : 376 = 0 with a remainder of 45 |
||||||
| 0 | 0 | |||||
| 3 | 7 | 6 | 4 | 5 | 1 | 2 |
| – | 0 | |||||
| 4 | 5 | |||||
|
STEP 6: MULTIPLY 0 · 376 = 0 |
||||||
| 0 | 0 | |||||
| 3 | 7 | 6 | 4 | 5 | 1 | 2 |
| – | 0 | |||||
| 4 | 5 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 45 - 0 = 45 |
||||||
| 0 | 0 | |||||
| 3 | 7 | 6 | 4 | 5 | 1 | 2 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 3 | 7 | 6 | 4 | 5 | 1 | 2 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
|
STEP 9: DIVIDE 451 : 376 = 1 with a remainder of 75 |
||||||
| 0 | 0 | 1 | ||||
| 3 | 7 | 6 | 4 | 5 | 1 | 2 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
|
STEP 10: MULTIPLY 1 · 376 = 376 |
||||||
| 0 | 0 | 1 | ||||
| 3 | 7 | 6 | 4 | 5 | 1 | 2 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
| 3 | 7 | 6 | ||||
|
STEP 11: SUBTRACT 451 - 376 = 75 |
||||||
| 0 | 0 | 1 | ||||
| 3 | 7 | 6 | 4 | 5 | 1 | 2 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
| – | 3 | 7 | 6 | |||
| 7 | 5 | |||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 1 | ||||
| 3 | 7 | 6 | 4 | 5 | 1 | 2 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
| – | 3 | 7 | 6 | |||
| 7 | 5 | 2 | ||||
|
STEP 13: DIVIDE 752 : 376 = 2 with a remainder of 0 |
||||||
| 0 | 0 | 1 | 2 | |||
| 3 | 7 | 6 | 4 | 5 | 1 | 2 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
| – | 3 | 7 | 6 | |||
| 7 | 5 | 2 | ||||
|
STEP 14: MULTIPLY 2 · 376 = 752 |
||||||
| 0 | 0 | 1 | 2 | |||
| 3 | 7 | 6 | 4 | 5 | 1 | 2 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
| – | 3 | 7 | 6 | |||
| 7 | 5 | 2 | ||||
| 7 | 5 | 2 | ||||
|
STEP 15: SUBTRACT 752 - 752 = 0 |
||||||
| 0 | 0 | 1 | 2 | |||
| 3 | 7 | 6 | 4 | 5 | 1 | 2 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
| – | 3 | 7 | 6 | |||
| 7 | 5 | 2 | ||||
| – | 7 | 5 | 2 | |||
| 0 | ||||||
|
STEP 15: SUBTRACT 752 - 752 = 0 |
||||||
| 0 | 0 | 1 | 2 | |||
| 3 | 7 | 6 | 4 | 5 | 1 | 2 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
| – | 3 | 7 | 6 | |||
| 7 | 5 | 2 | ||||
| – | 7 | 5 | 2 | |||
| 0 | ||||||
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