Question
What is the quotient and remainder when $ 880 $ is divided by $ 45 $ ?
Answer
The quotient is 19 and the remainder is 25.
Explanation
| Division Table | ||||
| 0 | 1 | 9 | ||
| 4 | 5 | 8 | 8 | 0 |
| – | 0 | |||
| 8 | 8 | |||
| – | 4 | 5 | ||
| 4 | 3 | 0 | ||
| – | 4 | 0 | 5 | |
| 2 | 5 | |||
|
STEP 0: set up a division table |
||||
| 4 | 5 | 8 | 8 | 0 |
|
STEP 1: DIVIDE 8 : 45 = 0 with a remainder of 8 |
||||
| 0 | ||||
| 4 | 5 | 8 | 8 | 0 |
|
STEP 2: MULTIPLY 0 · 45 = 0 |
||||
| 0 | ||||
| 4 | 5 | 8 | 8 | 0 |
| 0 | ||||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
||||
| 0 | ||||
| 4 | 5 | 8 | 8 | 0 |
| – | 0 | |||
| 8 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 4 | 5 | 8 | 8 | 0 |
| – | 0 | |||
| 8 | 8 | |||
|
STEP 5: DIVIDE 88 : 45 = 1 with a remainder of 43 |
||||
| 0 | 1 | |||
| 4 | 5 | 8 | 8 | 0 |
| – | 0 | |||
| 8 | 8 | |||
|
STEP 6: MULTIPLY 1 · 45 = 45 |
||||
| 0 | 1 | |||
| 4 | 5 | 8 | 8 | 0 |
| – | 0 | |||
| 8 | 8 | |||
| 4 | 5 | |||
|
STEP 7: SUBTRACT 88 - 45 = 43 |
||||
| 0 | 1 | |||
| 4 | 5 | 8 | 8 | 0 |
| – | 0 | |||
| 8 | 8 | |||
| – | 4 | 5 | ||
| 4 | 3 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 1 | |||
| 4 | 5 | 8 | 8 | 0 |
| – | 0 | |||
| 8 | 8 | |||
| – | 4 | 5 | ||
| 4 | 3 | 0 | ||
|
STEP 9: DIVIDE 430 : 45 = 9 with a remainder of 25 |
||||
| 0 | 1 | 9 | ||
| 4 | 5 | 8 | 8 | 0 |
| – | 0 | |||
| 8 | 8 | |||
| – | 4 | 5 | ||
| 4 | 3 | 0 | ||
|
STEP 10: MULTIPLY 9 · 45 = 405 |
||||
| 0 | 1 | 9 | ||
| 4 | 5 | 8 | 8 | 0 |
| – | 0 | |||
| 8 | 8 | |||
| – | 4 | 5 | ||
| 4 | 3 | 0 | ||
| 4 | 0 | 5 | ||
|
STEP 11: SUBTRACT 430 - 405 = 25 |
||||
| 0 | 1 | 9 | ||
| 4 | 5 | 8 | 8 | 0 |
| – | 0 | |||
| 8 | 8 | |||
| – | 4 | 5 | ||
| 4 | 3 | 0 | ||
| – | 4 | 0 | 5 | |
| 2 | 5 | |||
|
STEP 11: SUBTRACT 430 - 405 = 25 |
||||
| 0 | 1 | 9 | ||
| 4 | 5 | 8 | 8 | 0 |
| – | 0 | |||
| 8 | 8 | |||
| – | 4 | 5 | ||
| 4 | 3 | 0 | ||
| – | 4 | 0 | 5 | |
| 2 | 5 | |||
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