Question
What is the quotient and remainder when $ 75 $ is divided by $ 399 $ ?
Answer
The quotient is 0 and the remainder is 75.
Explanation
| Division Table | ||||
| 0 | 0 | |||
| 3 | 9 | 9 | 7 | 5 |
| – | 0 | |||
| 7 | 5 | |||
| – | 0 | |||
| 7 | 5 | |||
|
STEP 0: set up a division table |
||||
| 3 | 9 | 9 | 7 | 5 |
|
STEP 1: DIVIDE 7 : 399 = 0 with a remainder of 7 |
||||
| 0 | ||||
| 3 | 9 | 9 | 7 | 5 |
|
STEP 2: MULTIPLY 0 · 399 = 0 |
||||
| 0 | ||||
| 3 | 9 | 9 | 7 | 5 |
| 0 | ||||
|
STEP 3: SUBTRACT 7 - 0 = 7 |
||||
| 0 | ||||
| 3 | 9 | 9 | 7 | 5 |
| – | 0 | |||
| 7 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 3 | 9 | 9 | 7 | 5 |
| – | 0 | |||
| 7 | 5 | |||
|
STEP 5: DIVIDE 75 : 399 = 0 with a remainder of 75 |
||||
| 0 | 0 | |||
| 3 | 9 | 9 | 7 | 5 |
| – | 0 | |||
| 7 | 5 | |||
|
STEP 6: MULTIPLY 0 · 399 = 0 |
||||
| 0 | 0 | |||
| 3 | 9 | 9 | 7 | 5 |
| – | 0 | |||
| 7 | 5 | |||
| 0 | ||||
|
STEP 7: SUBTRACT 75 - 0 = 75 |
||||
| 0 | 0 | |||
| 3 | 9 | 9 | 7 | 5 |
| – | 0 | |||
| 7 | 5 | |||
| – | 0 | |||
| 7 | 5 | |||
|
STEP 7: SUBTRACT 75 - 0 = 75 |
||||
| 0 | 0 | |||
| 3 | 9 | 9 | 7 | 5 |
| – | 0 | |||
| 7 | 5 | |||
| – | 0 | |||
| 7 | 5 | |||
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