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What is the quotient and remainder when $ 654 $ is divided by $ 454 $ ?
Answer
The quotient is 1 and the remainder is 200.
Explanation
Division Table
|
| | | 0 | 0 | 1 |
4 | 5 | 4 | 6 | 5 | 4 |
| | – | 0 | | |
| | | 6 | 5 | |
| | | – | 0 | |
| | | 6 | 5 | 4 |
| | – | 4 | 5 | 4 |
| | | 2 | 0 | 0 |
STEP 0: set up a division table
|
| | | | | |
4 | 5 | 4 | 6 | 5 | 4 |
STEP 1: DIVIDE 6 : 454 = 0 with a remainder of 6
|
| | | 0 | | |
4 | 5 | 4 | 6 | 5 | 4 |
STEP 2: MULTIPLY 0 · 454 = 0
|
| | | 0 | | |
4 | 5 | 4 | 6 | 5 | 4 |
| | | 0 | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | 0 | | |
4 | 5 | 4 | 6 | 5 | 4 |
| | – | 0 | | |
| | | 6 | | |
STEP 4: BRING DOWN
|
| | | 0 | | |
4 | 5 | 4 | 6 | 5 | 4 |
| | – | 0 | | |
| | | 6 | 5 | |
STEP 5: DIVIDE 65 : 454 = 0 with a remainder of 65
|
| | | 0 | 0 | |
4 | 5 | 4 | 6 | 5 | 4 |
| | – | 0 | | |
| | | 6 | 5 | |
STEP 6: MULTIPLY 0 · 454 = 0
|
| | | 0 | 0 | |
4 | 5 | 4 | 6 | 5 | 4 |
| | – | 0 | | |
| | | 6 | 5 | |
| | | | 0 | |
STEP 7: SUBTRACT 65 - 0 = 65
|
| | | 0 | 0 | |
4 | 5 | 4 | 6 | 5 | 4 |
| | – | 0 | | |
| | | 6 | 5 | |
| | | – | 0 | |
| | | 6 | 5 | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
4 | 5 | 4 | 6 | 5 | 4 |
| | – | 0 | | |
| | | 6 | 5 | |
| | | – | 0 | |
| | | 6 | 5 | 4 |
STEP 9: DIVIDE 654 : 454 = 1 with a remainder of 200
|
| | | 0 | 0 | 1 |
4 | 5 | 4 | 6 | 5 | 4 |
| | – | 0 | | |
| | | 6 | 5 | |
| | | – | 0 | |
| | | 6 | 5 | 4 |
STEP 10: MULTIPLY 1 · 454 = 454
|
| | | 0 | 0 | 1 |
4 | 5 | 4 | 6 | 5 | 4 |
| | – | 0 | | |
| | | 6 | 5 | |
| | | – | 0 | |
| | | 6 | 5 | 4 |
| | | 4 | 5 | 4 |
STEP 11: SUBTRACT 654 - 454 = 200
|
| | | 0 | 0 | 1 |
4 | 5 | 4 | 6 | 5 | 4 |
| | – | 0 | | |
| | | 6 | 5 | |
| | | – | 0 | |
| | | 6 | 5 | 4 |
| | – | 4 | 5 | 4 |
| | | 2 | 0 | 0 |
STEP 11: SUBTRACT 654 - 454 = 200
|
| | | 0 | 0 | 1 |
4 | 5 | 4 | 6 | 5 | 4 |
| | – | 0 | | |
| | | 6 | 5 | |
| | | – | 0 | |
| | | 6 | 5 | 4 |
| | – | 4 | 5 | 4 |
| | | 2 | 0 | 0 |
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