Question
What is the quotient and remainder when $ 4513 $ is divided by $ 512 $ ?
Answer
The quotient is 8 and the remainder is 417.
Explanation
| Division Table | ||||||
| 0 | 0 | 0 | 8 | |||
| 5 | 1 | 2 | 4 | 5 | 1 | 3 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
| – | 0 | |||||
| 4 | 5 | 1 | 3 | |||
| – | 4 | 0 | 9 | 6 | ||
| 4 | 1 | 7 | ||||
|
STEP 0: set up a division table |
||||||
| 5 | 1 | 2 | 4 | 5 | 1 | 3 |
|
STEP 1: DIVIDE 4 : 512 = 0 with a remainder of 4 |
||||||
| 0 | ||||||
| 5 | 1 | 2 | 4 | 5 | 1 | 3 |
|
STEP 2: MULTIPLY 0 · 512 = 0 |
||||||
| 0 | ||||||
| 5 | 1 | 2 | 4 | 5 | 1 | 3 |
| 0 | ||||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
||||||
| 0 | ||||||
| 5 | 1 | 2 | 4 | 5 | 1 | 3 |
| – | 0 | |||||
| 4 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 5 | 1 | 2 | 4 | 5 | 1 | 3 |
| – | 0 | |||||
| 4 | 5 | |||||
|
STEP 5: DIVIDE 45 : 512 = 0 with a remainder of 45 |
||||||
| 0 | 0 | |||||
| 5 | 1 | 2 | 4 | 5 | 1 | 3 |
| – | 0 | |||||
| 4 | 5 | |||||
|
STEP 6: MULTIPLY 0 · 512 = 0 |
||||||
| 0 | 0 | |||||
| 5 | 1 | 2 | 4 | 5 | 1 | 3 |
| – | 0 | |||||
| 4 | 5 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 45 - 0 = 45 |
||||||
| 0 | 0 | |||||
| 5 | 1 | 2 | 4 | 5 | 1 | 3 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 5 | 1 | 2 | 4 | 5 | 1 | 3 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
|
STEP 9: DIVIDE 451 : 512 = 0 with a remainder of 451 |
||||||
| 0 | 0 | 0 | ||||
| 5 | 1 | 2 | 4 | 5 | 1 | 3 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
|
STEP 10: MULTIPLY 0 · 512 = 0 |
||||||
| 0 | 0 | 0 | ||||
| 5 | 1 | 2 | 4 | 5 | 1 | 3 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
| 0 | ||||||
|
STEP 11: SUBTRACT 451 - 0 = 451 |
||||||
| 0 | 0 | 0 | ||||
| 5 | 1 | 2 | 4 | 5 | 1 | 3 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 0 | ||||
| 5 | 1 | 2 | 4 | 5 | 1 | 3 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
| – | 0 | |||||
| 4 | 5 | 1 | 3 | |||
|
STEP 13: DIVIDE 4513 : 512 = 8 with a remainder of 417 |
||||||
| 0 | 0 | 0 | 8 | |||
| 5 | 1 | 2 | 4 | 5 | 1 | 3 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
| – | 0 | |||||
| 4 | 5 | 1 | 3 | |||
|
STEP 14: MULTIPLY 8 · 512 = 4096 |
||||||
| 0 | 0 | 0 | 8 | |||
| 5 | 1 | 2 | 4 | 5 | 1 | 3 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
| – | 0 | |||||
| 4 | 5 | 1 | 3 | |||
| 4 | 0 | 9 | 6 | |||
|
STEP 15: SUBTRACT 4513 - 4096 = 417 |
||||||
| 0 | 0 | 0 | 8 | |||
| 5 | 1 | 2 | 4 | 5 | 1 | 3 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
| – | 0 | |||||
| 4 | 5 | 1 | 3 | |||
| – | 4 | 0 | 9 | 6 | ||
| 4 | 1 | 7 | ||||
|
STEP 15: SUBTRACT 4513 - 4096 = 417 |
||||||
| 0 | 0 | 0 | 8 | |||
| 5 | 1 | 2 | 4 | 5 | 1 | 3 |
| – | 0 | |||||
| 4 | 5 | |||||
| – | 0 | |||||
| 4 | 5 | 1 | ||||
| – | 0 | |||||
| 4 | 5 | 1 | 3 | |||
| – | 4 | 0 | 9 | 6 | ||
| 4 | 1 | 7 | ||||
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