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Question
What is the quotient and remainder when $ 9875 $ is divided by $ 45 $ ?
Answer
The quotient is 219 and the remainder is 20.
Explanation
|
Division Table
|
| | | 0 | 2 | 1 | 9 |
| 4 | 5 | 9 | 8 | 7 | 5 |
| | – | 0 | | | |
| | | 9 | 8 | | |
| | – | 9 | 0 | | |
| | | | 8 | 7 | |
| | | – | 4 | 5 | |
| | | | 4 | 2 | 5 |
| | | – | 4 | 0 | 5 |
| | | | | 2 | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 4 | 5 | 9 | 8 | 7 | 5 |
STEP 1: DIVIDE 9 : 45 = 0 with a remainder of 9
|
| | | 0 | | | |
| 4 | 5 | 9 | 8 | 7 | 5 |
STEP 2: MULTIPLY 0 · 45 = 0
|
| | | 0 | | | |
| 4 | 5 | 9 | 8 | 7 | 5 |
| | | 0 | | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | 0 | | | |
| 4 | 5 | 9 | 8 | 7 | 5 |
| | – | 0 | | | |
| | | 9 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 4 | 5 | 9 | 8 | 7 | 5 |
| | – | 0 | | | |
| | | 9 | 8 | | |
STEP 5: DIVIDE 98 : 45 = 2 with a remainder of 8
|
| | | 0 | 2 | | |
| 4 | 5 | 9 | 8 | 7 | 5 |
| | – | 0 | | | |
| | | 9 | 8 | | |
STEP 6: MULTIPLY 2 · 45 = 90
|
| | | 0 | 2 | | |
| 4 | 5 | 9 | 8 | 7 | 5 |
| | – | 0 | | | |
| | | 9 | 8 | | |
| | | 9 | 0 | | |
STEP 7: SUBTRACT 98 - 90 = 8
|
| | | 0 | 2 | | |
| 4 | 5 | 9 | 8 | 7 | 5 |
| | – | 0 | | | |
| | | 9 | 8 | | |
| | – | 9 | 0 | | |
| | | | 8 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | | |
| 4 | 5 | 9 | 8 | 7 | 5 |
| | – | 0 | | | |
| | | 9 | 8 | | |
| | – | 9 | 0 | | |
| | | | 8 | 7 | |
STEP 9: DIVIDE 87 : 45 = 1 with a remainder of 42
|
| | | 0 | 2 | 1 | |
| 4 | 5 | 9 | 8 | 7 | 5 |
| | – | 0 | | | |
| | | 9 | 8 | | |
| | – | 9 | 0 | | |
| | | | 8 | 7 | |
STEP 10: MULTIPLY 1 · 45 = 45
|
| | | 0 | 2 | 1 | |
| 4 | 5 | 9 | 8 | 7 | 5 |
| | – | 0 | | | |
| | | 9 | 8 | | |
| | – | 9 | 0 | | |
| | | | 8 | 7 | |
| | | | 4 | 5 | |
STEP 11: SUBTRACT 87 - 45 = 42
|
| | | 0 | 2 | 1 | |
| 4 | 5 | 9 | 8 | 7 | 5 |
| | – | 0 | | | |
| | | 9 | 8 | | |
| | – | 9 | 0 | | |
| | | | 8 | 7 | |
| | | – | 4 | 5 | |
| | | | 4 | 2 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 2 | 1 | |
| 4 | 5 | 9 | 8 | 7 | 5 |
| | – | 0 | | | |
| | | 9 | 8 | | |
| | – | 9 | 0 | | |
| | | | 8 | 7 | |
| | | – | 4 | 5 | |
| | | | 4 | 2 | 5 |
STEP 13: DIVIDE 425 : 45 = 9 with a remainder of 20
|
| | | 0 | 2 | 1 | 9 |
| 4 | 5 | 9 | 8 | 7 | 5 |
| | – | 0 | | | |
| | | 9 | 8 | | |
| | – | 9 | 0 | | |
| | | | 8 | 7 | |
| | | – | 4 | 5 | |
| | | | 4 | 2 | 5 |
STEP 14: MULTIPLY 9 · 45 = 405
|
| | | 0 | 2 | 1 | 9 |
| 4 | 5 | 9 | 8 | 7 | 5 |
| | – | 0 | | | |
| | | 9 | 8 | | |
| | – | 9 | 0 | | |
| | | | 8 | 7 | |
| | | – | 4 | 5 | |
| | | | 4 | 2 | 5 |
| | | | 4 | 0 | 5 |
STEP 15: SUBTRACT 425 - 405 = 20
|
| | | 0 | 2 | 1 | 9 |
| 4 | 5 | 9 | 8 | 7 | 5 |
| | – | 0 | | | |
| | | 9 | 8 | | |
| | – | 9 | 0 | | |
| | | | 8 | 7 | |
| | | – | 4 | 5 | |
| | | | 4 | 2 | 5 |
| | | – | 4 | 0 | 5 |
| | | | | 2 | 0 |
STEP 15: SUBTRACT 425 - 405 = 20
|
| | | 0 | 2 | 1 | 9 |
| 4 | 5 | 9 | 8 | 7 | 5 |
| | – | 0 | | | |
| | | 9 | 8 | | |
| | – | 9 | 0 | | |
| | | | 8 | 7 | |
| | | – | 4 | 5 | |
| | | | 4 | 2 | 5 |
| | | – | 4 | 0 | 5 |
| | | | | 2 | 0 |
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