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Question
What is the quotient and remainder when $ 377 $ is divided by $ 325 $ ?
Answer
The quotient is 1 and the remainder is 52.
Explanation
|
Division Table
|
| | | | 0 | 0 | 1 |
| 3 | 2 | 5 | 3 | 7 | 7 |
| | | – | 0 | | |
| | | | 3 | 7 | |
| | | | – | 0 | |
| | | | 3 | 7 | 7 |
| | | – | 3 | 2 | 5 |
| | | | | 5 | 2 |
STEP 0: set up a division table
|
| | | | | | |
| 3 | 2 | 5 | 3 | 7 | 7 |
STEP 1: DIVIDE 3 : 325 = 0 with a remainder of 3
|
| | | | 0 | | |
| 3 | 2 | 5 | 3 | 7 | 7 |
STEP 2: MULTIPLY 0 · 325 = 0
|
| | | | 0 | | |
| 3 | 2 | 5 | 3 | 7 | 7 |
| | | | 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | | 0 | | |
| 3 | 2 | 5 | 3 | 7 | 7 |
| | | – | 0 | | |
| | | | 3 | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | |
| 3 | 2 | 5 | 3 | 7 | 7 |
| | | – | 0 | | |
| | | | 3 | 7 | |
STEP 5: DIVIDE 37 : 325 = 0 with a remainder of 37
|
| | | | 0 | 0 | |
| 3 | 2 | 5 | 3 | 7 | 7 |
| | | – | 0 | | |
| | | | 3 | 7 | |
STEP 6: MULTIPLY 0 · 325 = 0
|
| | | | 0 | 0 | |
| 3 | 2 | 5 | 3 | 7 | 7 |
| | | – | 0 | | |
| | | | 3 | 7 | |
| | | | | 0 | |
STEP 7: SUBTRACT 37 - 0 = 37
|
| | | | 0 | 0 | |
| 3 | 2 | 5 | 3 | 7 | 7 |
| | | – | 0 | | |
| | | | 3 | 7 | |
| | | | – | 0 | |
| | | | 3 | 7 | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
| 3 | 2 | 5 | 3 | 7 | 7 |
| | | – | 0 | | |
| | | | 3 | 7 | |
| | | | – | 0 | |
| | | | 3 | 7 | 7 |
STEP 9: DIVIDE 377 : 325 = 1 with a remainder of 52
|
| | | | 0 | 0 | 1 |
| 3 | 2 | 5 | 3 | 7 | 7 |
| | | – | 0 | | |
| | | | 3 | 7 | |
| | | | – | 0 | |
| | | | 3 | 7 | 7 |
STEP 10: MULTIPLY 1 · 325 = 325
|
| | | | 0 | 0 | 1 |
| 3 | 2 | 5 | 3 | 7 | 7 |
| | | – | 0 | | |
| | | | 3 | 7 | |
| | | | – | 0 | |
| | | | 3 | 7 | 7 |
| | | | 3 | 2 | 5 |
STEP 11: SUBTRACT 377 - 325 = 52
|
| | | | 0 | 0 | 1 |
| 3 | 2 | 5 | 3 | 7 | 7 |
| | | – | 0 | | |
| | | | 3 | 7 | |
| | | | – | 0 | |
| | | | 3 | 7 | 7 |
| | | – | 3 | 2 | 5 |
| | | | | 5 | 2 |
STEP 11: SUBTRACT 377 - 325 = 52
|
| | | | 0 | 0 | 1 |
| 3 | 2 | 5 | 3 | 7 | 7 |
| | | – | 0 | | |
| | | | 3 | 7 | |
| | | | – | 0 | |
| | | | 3 | 7 | 7 |
| | | – | 3 | 2 | 5 |
| | | | | 5 | 2 |
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