Question
What is the quotient and remainder when $ 4415 $ is divided by $ 800 $ ?
Answer
The quotient is 5 and the remainder is 415.
Explanation
| Division Table | ||||||
| 0 | 0 | 0 | 5 | |||
| 8 | 0 | 0 | 4 | 4 | 1 | 5 |
| – | 0 | |||||
| 4 | 4 | |||||
| – | 0 | |||||
| 4 | 4 | 1 | ||||
| – | 0 | |||||
| 4 | 4 | 1 | 5 | |||
| – | 4 | 0 | 0 | 0 | ||
| 4 | 1 | 5 | ||||
|
STEP 0: set up a division table |
||||||
| 8 | 0 | 0 | 4 | 4 | 1 | 5 |
|
STEP 1: DIVIDE 4 : 800 = 0 with a remainder of 4 |
||||||
| 0 | ||||||
| 8 | 0 | 0 | 4 | 4 | 1 | 5 |
|
STEP 2: MULTIPLY 0 · 800 = 0 |
||||||
| 0 | ||||||
| 8 | 0 | 0 | 4 | 4 | 1 | 5 |
| 0 | ||||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
||||||
| 0 | ||||||
| 8 | 0 | 0 | 4 | 4 | 1 | 5 |
| – | 0 | |||||
| 4 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 8 | 0 | 0 | 4 | 4 | 1 | 5 |
| – | 0 | |||||
| 4 | 4 | |||||
|
STEP 5: DIVIDE 44 : 800 = 0 with a remainder of 44 |
||||||
| 0 | 0 | |||||
| 8 | 0 | 0 | 4 | 4 | 1 | 5 |
| – | 0 | |||||
| 4 | 4 | |||||
|
STEP 6: MULTIPLY 0 · 800 = 0 |
||||||
| 0 | 0 | |||||
| 8 | 0 | 0 | 4 | 4 | 1 | 5 |
| – | 0 | |||||
| 4 | 4 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 44 - 0 = 44 |
||||||
| 0 | 0 | |||||
| 8 | 0 | 0 | 4 | 4 | 1 | 5 |
| – | 0 | |||||
| 4 | 4 | |||||
| – | 0 | |||||
| 4 | 4 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 8 | 0 | 0 | 4 | 4 | 1 | 5 |
| – | 0 | |||||
| 4 | 4 | |||||
| – | 0 | |||||
| 4 | 4 | 1 | ||||
|
STEP 9: DIVIDE 441 : 800 = 0 with a remainder of 441 |
||||||
| 0 | 0 | 0 | ||||
| 8 | 0 | 0 | 4 | 4 | 1 | 5 |
| – | 0 | |||||
| 4 | 4 | |||||
| – | 0 | |||||
| 4 | 4 | 1 | ||||
|
STEP 10: MULTIPLY 0 · 800 = 0 |
||||||
| 0 | 0 | 0 | ||||
| 8 | 0 | 0 | 4 | 4 | 1 | 5 |
| – | 0 | |||||
| 4 | 4 | |||||
| – | 0 | |||||
| 4 | 4 | 1 | ||||
| 0 | ||||||
|
STEP 11: SUBTRACT 441 - 0 = 441 |
||||||
| 0 | 0 | 0 | ||||
| 8 | 0 | 0 | 4 | 4 | 1 | 5 |
| – | 0 | |||||
| 4 | 4 | |||||
| – | 0 | |||||
| 4 | 4 | 1 | ||||
| – | 0 | |||||
| 4 | 4 | 1 | ||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 0 | ||||
| 8 | 0 | 0 | 4 | 4 | 1 | 5 |
| – | 0 | |||||
| 4 | 4 | |||||
| – | 0 | |||||
| 4 | 4 | 1 | ||||
| – | 0 | |||||
| 4 | 4 | 1 | 5 | |||
|
STEP 13: DIVIDE 4415 : 800 = 5 with a remainder of 415 |
||||||
| 0 | 0 | 0 | 5 | |||
| 8 | 0 | 0 | 4 | 4 | 1 | 5 |
| – | 0 | |||||
| 4 | 4 | |||||
| – | 0 | |||||
| 4 | 4 | 1 | ||||
| – | 0 | |||||
| 4 | 4 | 1 | 5 | |||
|
STEP 14: MULTIPLY 5 · 800 = 4000 |
||||||
| 0 | 0 | 0 | 5 | |||
| 8 | 0 | 0 | 4 | 4 | 1 | 5 |
| – | 0 | |||||
| 4 | 4 | |||||
| – | 0 | |||||
| 4 | 4 | 1 | ||||
| – | 0 | |||||
| 4 | 4 | 1 | 5 | |||
| 4 | 0 | 0 | 0 | |||
|
STEP 15: SUBTRACT 4415 - 4000 = 415 |
||||||
| 0 | 0 | 0 | 5 | |||
| 8 | 0 | 0 | 4 | 4 | 1 | 5 |
| – | 0 | |||||
| 4 | 4 | |||||
| – | 0 | |||||
| 4 | 4 | 1 | ||||
| – | 0 | |||||
| 4 | 4 | 1 | 5 | |||
| – | 4 | 0 | 0 | 0 | ||
| 4 | 1 | 5 | ||||
|
STEP 15: SUBTRACT 4415 - 4000 = 415 |
||||||
| 0 | 0 | 0 | 5 | |||
| 8 | 0 | 0 | 4 | 4 | 1 | 5 |
| – | 0 | |||||
| 4 | 4 | |||||
| – | 0 | |||||
| 4 | 4 | 1 | ||||
| – | 0 | |||||
| 4 | 4 | 1 | 5 | |||
| – | 4 | 0 | 0 | 0 | ||
| 4 | 1 | 5 | ||||
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