Question
What is the quotient and remainder when $ 5652 $ is divided by $ 250 $ ?
Answer
The quotient is 22 and the remainder is 152.
Explanation
| Division Table | ||||||
| 0 | 0 | 2 | 2 | |||
| 2 | 5 | 0 | 5 | 6 | 5 | 2 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 5 | ||||
| – | 5 | 0 | 0 | |||
| 6 | 5 | 2 | ||||
| – | 5 | 0 | 0 | |||
| 1 | 5 | 2 | ||||
|
STEP 0: set up a division table |
||||||
| 2 | 5 | 0 | 5 | 6 | 5 | 2 |
|
STEP 1: DIVIDE 5 : 250 = 0 with a remainder of 5 |
||||||
| 0 | ||||||
| 2 | 5 | 0 | 5 | 6 | 5 | 2 |
|
STEP 2: MULTIPLY 0 · 250 = 0 |
||||||
| 0 | ||||||
| 2 | 5 | 0 | 5 | 6 | 5 | 2 |
| 0 | ||||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
||||||
| 0 | ||||||
| 2 | 5 | 0 | 5 | 6 | 5 | 2 |
| – | 0 | |||||
| 5 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 2 | 5 | 0 | 5 | 6 | 5 | 2 |
| – | 0 | |||||
| 5 | 6 | |||||
|
STEP 5: DIVIDE 56 : 250 = 0 with a remainder of 56 |
||||||
| 0 | 0 | |||||
| 2 | 5 | 0 | 5 | 6 | 5 | 2 |
| – | 0 | |||||
| 5 | 6 | |||||
|
STEP 6: MULTIPLY 0 · 250 = 0 |
||||||
| 0 | 0 | |||||
| 2 | 5 | 0 | 5 | 6 | 5 | 2 |
| – | 0 | |||||
| 5 | 6 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 56 - 0 = 56 |
||||||
| 0 | 0 | |||||
| 2 | 5 | 0 | 5 | 6 | 5 | 2 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 2 | 5 | 0 | 5 | 6 | 5 | 2 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 5 | ||||
|
STEP 9: DIVIDE 565 : 250 = 2 with a remainder of 65 |
||||||
| 0 | 0 | 2 | ||||
| 2 | 5 | 0 | 5 | 6 | 5 | 2 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 5 | ||||
|
STEP 10: MULTIPLY 2 · 250 = 500 |
||||||
| 0 | 0 | 2 | ||||
| 2 | 5 | 0 | 5 | 6 | 5 | 2 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 5 | ||||
| 5 | 0 | 0 | ||||
|
STEP 11: SUBTRACT 565 - 500 = 65 |
||||||
| 0 | 0 | 2 | ||||
| 2 | 5 | 0 | 5 | 6 | 5 | 2 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 5 | ||||
| – | 5 | 0 | 0 | |||
| 6 | 5 | |||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 2 | ||||
| 2 | 5 | 0 | 5 | 6 | 5 | 2 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 5 | ||||
| – | 5 | 0 | 0 | |||
| 6 | 5 | 2 | ||||
|
STEP 13: DIVIDE 652 : 250 = 2 with a remainder of 152 |
||||||
| 0 | 0 | 2 | 2 | |||
| 2 | 5 | 0 | 5 | 6 | 5 | 2 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 5 | ||||
| – | 5 | 0 | 0 | |||
| 6 | 5 | 2 | ||||
|
STEP 14: MULTIPLY 2 · 250 = 500 |
||||||
| 0 | 0 | 2 | 2 | |||
| 2 | 5 | 0 | 5 | 6 | 5 | 2 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 5 | ||||
| – | 5 | 0 | 0 | |||
| 6 | 5 | 2 | ||||
| 5 | 0 | 0 | ||||
|
STEP 15: SUBTRACT 652 - 500 = 152 |
||||||
| 0 | 0 | 2 | 2 | |||
| 2 | 5 | 0 | 5 | 6 | 5 | 2 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 5 | ||||
| – | 5 | 0 | 0 | |||
| 6 | 5 | 2 | ||||
| – | 5 | 0 | 0 | |||
| 1 | 5 | 2 | ||||
|
STEP 15: SUBTRACT 652 - 500 = 152 |
||||||
| 0 | 0 | 2 | 2 | |||
| 2 | 5 | 0 | 5 | 6 | 5 | 2 |
| – | 0 | |||||
| 5 | 6 | |||||
| – | 0 | |||||
| 5 | 6 | 5 | ||||
| – | 5 | 0 | 0 | |||
| 6 | 5 | 2 | ||||
| – | 5 | 0 | 0 | |||
| 1 | 5 | 2 | ||||
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