Question
What is the quotient and remainder when $ 579 $ is divided by $ 40 $ ?
Answer
The quotient is 14 and the remainder is 19.
Explanation
| Division Table | ||||
| 0 | 1 | 4 | ||
| 4 | 0 | 5 | 7 | 9 |
| – | 0 | |||
| 5 | 7 | |||
| – | 4 | 0 | ||
| 1 | 7 | 9 | ||
| – | 1 | 6 | 0 | |
| 1 | 9 | |||
|
STEP 0: set up a division table |
||||
| 4 | 0 | 5 | 7 | 9 |
|
STEP 1: DIVIDE 5 : 40 = 0 with a remainder of 5 |
||||
| 0 | ||||
| 4 | 0 | 5 | 7 | 9 |
|
STEP 2: MULTIPLY 0 · 40 = 0 |
||||
| 0 | ||||
| 4 | 0 | 5 | 7 | 9 |
| 0 | ||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
||||
| 0 | ||||
| 4 | 0 | 5 | 7 | 9 |
| – | 0 | |||
| 5 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 4 | 0 | 5 | 7 | 9 |
| – | 0 | |||
| 5 | 7 | |||
|
STEP 5: DIVIDE 57 : 40 = 1 with a remainder of 17 |
||||
| 0 | 1 | |||
| 4 | 0 | 5 | 7 | 9 |
| – | 0 | |||
| 5 | 7 | |||
|
STEP 6: MULTIPLY 1 · 40 = 40 |
||||
| 0 | 1 | |||
| 4 | 0 | 5 | 7 | 9 |
| – | 0 | |||
| 5 | 7 | |||
| 4 | 0 | |||
|
STEP 7: SUBTRACT 57 - 40 = 17 |
||||
| 0 | 1 | |||
| 4 | 0 | 5 | 7 | 9 |
| – | 0 | |||
| 5 | 7 | |||
| – | 4 | 0 | ||
| 1 | 7 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 1 | |||
| 4 | 0 | 5 | 7 | 9 |
| – | 0 | |||
| 5 | 7 | |||
| – | 4 | 0 | ||
| 1 | 7 | 9 | ||
|
STEP 9: DIVIDE 179 : 40 = 4 with a remainder of 19 |
||||
| 0 | 1 | 4 | ||
| 4 | 0 | 5 | 7 | 9 |
| – | 0 | |||
| 5 | 7 | |||
| – | 4 | 0 | ||
| 1 | 7 | 9 | ||
|
STEP 10: MULTIPLY 4 · 40 = 160 |
||||
| 0 | 1 | 4 | ||
| 4 | 0 | 5 | 7 | 9 |
| – | 0 | |||
| 5 | 7 | |||
| – | 4 | 0 | ||
| 1 | 7 | 9 | ||
| 1 | 6 | 0 | ||
|
STEP 11: SUBTRACT 179 - 160 = 19 |
||||
| 0 | 1 | 4 | ||
| 4 | 0 | 5 | 7 | 9 |
| – | 0 | |||
| 5 | 7 | |||
| – | 4 | 0 | ||
| 1 | 7 | 9 | ||
| – | 1 | 6 | 0 | |
| 1 | 9 | |||
|
STEP 11: SUBTRACT 179 - 160 = 19 |
||||
| 0 | 1 | 4 | ||
| 4 | 0 | 5 | 7 | 9 |
| – | 0 | |||
| 5 | 7 | |||
| – | 4 | 0 | ||
| 1 | 7 | 9 | ||
| – | 1 | 6 | 0 | |
| 1 | 9 | |||
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