What is the quotient and remainder when $ 400 $ is divided by $ 320 $ ?
Answer
The quotient is 1 and the remainder is 80.
Explanation
| Division Table | |||||
| 0 | 0 | 1 | |||
| 3 | 2 | 0 | 4 | 0 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 0 | ||||
| 4 | 0 | 0 | |||
| – | 3 | 2 | 0 | ||
| 8 | 0 | ||||
|
STEP 0: set up a division table |
|||||
| 3 | 2 | 0 | 4 | 0 | 0 |
|
STEP 1: DIVIDE 4 : 320 = 0 with a remainder of 4 |
|||||
| 0 | |||||
| 3 | 2 | 0 | 4 | 0 | 0 |
|
STEP 2: MULTIPLY 0 · 320 = 0 |
|||||
| 0 | |||||
| 3 | 2 | 0 | 4 | 0 | 0 |
| 0 | |||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
|||||
| 0 | |||||
| 3 | 2 | 0 | 4 | 0 | 0 |
| – | 0 | ||||
| 4 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 3 | 2 | 0 | 4 | 0 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
|
STEP 5: DIVIDE 40 : 320 = 0 with a remainder of 40 |
|||||
| 0 | 0 | ||||
| 3 | 2 | 0 | 4 | 0 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
|
STEP 6: MULTIPLY 0 · 320 = 0 |
|||||
| 0 | 0 | ||||
| 3 | 2 | 0 | 4 | 0 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 40 - 0 = 40 |
|||||
| 0 | 0 | ||||
| 3 | 2 | 0 | 4 | 0 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 0 | ||||
| 4 | 0 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 3 | 2 | 0 | 4 | 0 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 0 | ||||
| 4 | 0 | 0 | |||
|
STEP 9: DIVIDE 400 : 320 = 1 with a remainder of 80 |
|||||
| 0 | 0 | 1 | |||
| 3 | 2 | 0 | 4 | 0 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 0 | ||||
| 4 | 0 | 0 | |||
|
STEP 10: MULTIPLY 1 · 320 = 320 |
|||||
| 0 | 0 | 1 | |||
| 3 | 2 | 0 | 4 | 0 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 0 | ||||
| 4 | 0 | 0 | |||
| 3 | 2 | 0 | |||
|
STEP 11: SUBTRACT 400 - 320 = 80 |
|||||
| 0 | 0 | 1 | |||
| 3 | 2 | 0 | 4 | 0 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 0 | ||||
| 4 | 0 | 0 | |||
| – | 3 | 2 | 0 | ||
| 8 | 0 | ||||
|
STEP 11: SUBTRACT 400 - 320 = 80 |
|||||
| 0 | 0 | 1 | |||
| 3 | 2 | 0 | 4 | 0 | 0 |
| – | 0 | ||||
| 4 | 0 | ||||
| – | 0 | ||||
| 4 | 0 | 0 | |||
| – | 3 | 2 | 0 | ||
| 8 | 0 | ||||
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