Question
What is the quotient and remainder when $ 900 $ is divided by $ 40 $ ?
Answer
The quotient is 22 and the remainder is 20.
Explanation
| Division Table | ||||
| 0 | 2 | 2 | ||
| 4 | 0 | 9 | 0 | 0 |
| – | 0 | |||
| 9 | 0 | |||
| – | 8 | 0 | ||
| 1 | 0 | 0 | ||
| – | 8 | 0 | ||
| 2 | 0 | |||
|
STEP 0: set up a division table |
||||
| 4 | 0 | 9 | 0 | 0 |
|
STEP 1: DIVIDE 9 : 40 = 0 with a remainder of 9 |
||||
| 0 | ||||
| 4 | 0 | 9 | 0 | 0 |
|
STEP 2: MULTIPLY 0 · 40 = 0 |
||||
| 0 | ||||
| 4 | 0 | 9 | 0 | 0 |
| 0 | ||||
|
STEP 3: SUBTRACT 9 - 0 = 9 |
||||
| 0 | ||||
| 4 | 0 | 9 | 0 | 0 |
| – | 0 | |||
| 9 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 4 | 0 | 9 | 0 | 0 |
| – | 0 | |||
| 9 | 0 | |||
|
STEP 5: DIVIDE 90 : 40 = 2 with a remainder of 10 |
||||
| 0 | 2 | |||
| 4 | 0 | 9 | 0 | 0 |
| – | 0 | |||
| 9 | 0 | |||
|
STEP 6: MULTIPLY 2 · 40 = 80 |
||||
| 0 | 2 | |||
| 4 | 0 | 9 | 0 | 0 |
| – | 0 | |||
| 9 | 0 | |||
| 8 | 0 | |||
|
STEP 7: SUBTRACT 90 - 80 = 10 |
||||
| 0 | 2 | |||
| 4 | 0 | 9 | 0 | 0 |
| – | 0 | |||
| 9 | 0 | |||
| – | 8 | 0 | ||
| 1 | 0 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 2 | |||
| 4 | 0 | 9 | 0 | 0 |
| – | 0 | |||
| 9 | 0 | |||
| – | 8 | 0 | ||
| 1 | 0 | 0 | ||
|
STEP 9: DIVIDE 100 : 40 = 2 with a remainder of 20 |
||||
| 0 | 2 | 2 | ||
| 4 | 0 | 9 | 0 | 0 |
| – | 0 | |||
| 9 | 0 | |||
| – | 8 | 0 | ||
| 1 | 0 | 0 | ||
|
STEP 10: MULTIPLY 2 · 40 = 80 |
||||
| 0 | 2 | 2 | ||
| 4 | 0 | 9 | 0 | 0 |
| – | 0 | |||
| 9 | 0 | |||
| – | 8 | 0 | ||
| 1 | 0 | 0 | ||
| 8 | 0 | |||
|
STEP 11: SUBTRACT 100 - 80 = 20 |
||||
| 0 | 2 | 2 | ||
| 4 | 0 | 9 | 0 | 0 |
| – | 0 | |||
| 9 | 0 | |||
| – | 8 | 0 | ||
| 1 | 0 | 0 | ||
| – | 8 | 0 | ||
| 2 | 0 | |||
|
STEP 11: SUBTRACT 100 - 80 = 20 |
||||
| 0 | 2 | 2 | ||
| 4 | 0 | 9 | 0 | 0 |
| – | 0 | |||
| 9 | 0 | |||
| – | 8 | 0 | ||
| 1 | 0 | 0 | ||
| – | 8 | 0 | ||
| 2 | 0 | |||
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