Question
What is the quotient and remainder when $ 8500 $ is divided by $ 250 $ ?
Answer
The quotient is 34 and the remainder is 0.
Explanation
| Division Table | ||||||
| 0 | 0 | 3 | 4 | |||
| 2 | 5 | 0 | 8 | 5 | 0 | 0 |
| – | 0 | |||||
| 8 | 5 | |||||
| – | 0 | |||||
| 8 | 5 | 0 | ||||
| – | 7 | 5 | 0 | |||
| 1 | 0 | 0 | 0 | |||
| – | 1 | 0 | 0 | 0 | ||
| 0 | ||||||
|
STEP 0: set up a division table |
||||||
| 2 | 5 | 0 | 8 | 5 | 0 | 0 |
|
STEP 1: DIVIDE 8 : 250 = 0 with a remainder of 8 |
||||||
| 0 | ||||||
| 2 | 5 | 0 | 8 | 5 | 0 | 0 |
|
STEP 2: MULTIPLY 0 · 250 = 0 |
||||||
| 0 | ||||||
| 2 | 5 | 0 | 8 | 5 | 0 | 0 |
| 0 | ||||||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
||||||
| 0 | ||||||
| 2 | 5 | 0 | 8 | 5 | 0 | 0 |
| – | 0 | |||||
| 8 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 2 | 5 | 0 | 8 | 5 | 0 | 0 |
| – | 0 | |||||
| 8 | 5 | |||||
|
STEP 5: DIVIDE 85 : 250 = 0 with a remainder of 85 |
||||||
| 0 | 0 | |||||
| 2 | 5 | 0 | 8 | 5 | 0 | 0 |
| – | 0 | |||||
| 8 | 5 | |||||
|
STEP 6: MULTIPLY 0 · 250 = 0 |
||||||
| 0 | 0 | |||||
| 2 | 5 | 0 | 8 | 5 | 0 | 0 |
| – | 0 | |||||
| 8 | 5 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 85 - 0 = 85 |
||||||
| 0 | 0 | |||||
| 2 | 5 | 0 | 8 | 5 | 0 | 0 |
| – | 0 | |||||
| 8 | 5 | |||||
| – | 0 | |||||
| 8 | 5 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 2 | 5 | 0 | 8 | 5 | 0 | 0 |
| – | 0 | |||||
| 8 | 5 | |||||
| – | 0 | |||||
| 8 | 5 | 0 | ||||
|
STEP 9: DIVIDE 850 : 250 = 3 with a remainder of 100 |
||||||
| 0 | 0 | 3 | ||||
| 2 | 5 | 0 | 8 | 5 | 0 | 0 |
| – | 0 | |||||
| 8 | 5 | |||||
| – | 0 | |||||
| 8 | 5 | 0 | ||||
|
STEP 10: MULTIPLY 3 · 250 = 750 |
||||||
| 0 | 0 | 3 | ||||
| 2 | 5 | 0 | 8 | 5 | 0 | 0 |
| – | 0 | |||||
| 8 | 5 | |||||
| – | 0 | |||||
| 8 | 5 | 0 | ||||
| 7 | 5 | 0 | ||||
|
STEP 11: SUBTRACT 850 - 750 = 100 |
||||||
| 0 | 0 | 3 | ||||
| 2 | 5 | 0 | 8 | 5 | 0 | 0 |
| – | 0 | |||||
| 8 | 5 | |||||
| – | 0 | |||||
| 8 | 5 | 0 | ||||
| – | 7 | 5 | 0 | |||
| 1 | 0 | 0 | ||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 3 | ||||
| 2 | 5 | 0 | 8 | 5 | 0 | 0 |
| – | 0 | |||||
| 8 | 5 | |||||
| – | 0 | |||||
| 8 | 5 | 0 | ||||
| – | 7 | 5 | 0 | |||
| 1 | 0 | 0 | 0 | |||
|
STEP 13: DIVIDE 1000 : 250 = 4 with a remainder of 0 |
||||||
| 0 | 0 | 3 | 4 | |||
| 2 | 5 | 0 | 8 | 5 | 0 | 0 |
| – | 0 | |||||
| 8 | 5 | |||||
| – | 0 | |||||
| 8 | 5 | 0 | ||||
| – | 7 | 5 | 0 | |||
| 1 | 0 | 0 | 0 | |||
|
STEP 14: MULTIPLY 4 · 250 = 1000 |
||||||
| 0 | 0 | 3 | 4 | |||
| 2 | 5 | 0 | 8 | 5 | 0 | 0 |
| – | 0 | |||||
| 8 | 5 | |||||
| – | 0 | |||||
| 8 | 5 | 0 | ||||
| – | 7 | 5 | 0 | |||
| 1 | 0 | 0 | 0 | |||
| 1 | 0 | 0 | 0 | |||
|
STEP 15: SUBTRACT 1000 - 1000 = 0 |
||||||
| 0 | 0 | 3 | 4 | |||
| 2 | 5 | 0 | 8 | 5 | 0 | 0 |
| – | 0 | |||||
| 8 | 5 | |||||
| – | 0 | |||||
| 8 | 5 | 0 | ||||
| – | 7 | 5 | 0 | |||
| 1 | 0 | 0 | 0 | |||
| – | 1 | 0 | 0 | 0 | ||
| 0 | ||||||
|
STEP 15: SUBTRACT 1000 - 1000 = 0 |
||||||
| 0 | 0 | 3 | 4 | |||
| 2 | 5 | 0 | 8 | 5 | 0 | 0 |
| – | 0 | |||||
| 8 | 5 | |||||
| – | 0 | |||||
| 8 | 5 | 0 | ||||
| – | 7 | 5 | 0 | |||
| 1 | 0 | 0 | 0 | |||
| – | 1 | 0 | 0 | 0 | ||
| 0 | ||||||
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