Question
What is the quotient and remainder when $ 180 $ is divided by $ 500 $ ?
Answer
The quotient is 0 and the remainder is 180.
Explanation
| Division Table | |||||
| 0 | 0 | 0 | |||
| 5 | 0 | 0 | 1 | 8 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| – | 0 | ||||
| 1 | 8 | 0 | |||
| – | 0 | ||||
| 1 | 8 | 0 | |||
|
STEP 0: set up a division table |
|||||
| 5 | 0 | 0 | 1 | 8 | 0 |
|
STEP 1: DIVIDE 1 : 500 = 0 with a remainder of 1 |
|||||
| 0 | |||||
| 5 | 0 | 0 | 1 | 8 | 0 |
|
STEP 2: MULTIPLY 0 · 500 = 0 |
|||||
| 0 | |||||
| 5 | 0 | 0 | 1 | 8 | 0 |
| 0 | |||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
|||||
| 0 | |||||
| 5 | 0 | 0 | 1 | 8 | 0 |
| – | 0 | ||||
| 1 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 5 | 0 | 0 | 1 | 8 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
|
STEP 5: DIVIDE 18 : 500 = 0 with a remainder of 18 |
|||||
| 0 | 0 | ||||
| 5 | 0 | 0 | 1 | 8 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
|
STEP 6: MULTIPLY 0 · 500 = 0 |
|||||
| 0 | 0 | ||||
| 5 | 0 | 0 | 1 | 8 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 18 - 0 = 18 |
|||||
| 0 | 0 | ||||
| 5 | 0 | 0 | 1 | 8 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| – | 0 | ||||
| 1 | 8 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 5 | 0 | 0 | 1 | 8 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| – | 0 | ||||
| 1 | 8 | 0 | |||
|
STEP 9: DIVIDE 180 : 500 = 0 with a remainder of 180 |
|||||
| 0 | 0 | 0 | |||
| 5 | 0 | 0 | 1 | 8 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| – | 0 | ||||
| 1 | 8 | 0 | |||
|
STEP 10: MULTIPLY 0 · 500 = 0 |
|||||
| 0 | 0 | 0 | |||
| 5 | 0 | 0 | 1 | 8 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| – | 0 | ||||
| 1 | 8 | 0 | |||
| 0 | |||||
|
STEP 11: SUBTRACT 180 - 0 = 180 |
|||||
| 0 | 0 | 0 | |||
| 5 | 0 | 0 | 1 | 8 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| – | 0 | ||||
| 1 | 8 | 0 | |||
| – | 0 | ||||
| 1 | 8 | 0 | |||
|
STEP 11: SUBTRACT 180 - 0 = 180 |
|||||
| 0 | 0 | 0 | |||
| 5 | 0 | 0 | 1 | 8 | 0 |
| – | 0 | ||||
| 1 | 8 | ||||
| – | 0 | ||||
| 1 | 8 | 0 | |||
| – | 0 | ||||
| 1 | 8 | 0 | |||
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