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What is the quotient and remainder when $ 780 $ is divided by $ 224 $ ?
Answer
The quotient is 3 and the remainder is 108.
Explanation
Division Table
|
| | | 0 | 0 | 3 |
2 | 2 | 4 | 7 | 8 | 0 |
| | – | 0 | | |
| | | 7 | 8 | |
| | | – | 0 | |
| | | 7 | 8 | 0 |
| | – | 6 | 7 | 2 |
| | | 1 | 0 | 8 |
STEP 0: set up a division table
|
| | | | | |
2 | 2 | 4 | 7 | 8 | 0 |
STEP 1: DIVIDE 7 : 224 = 0 with a remainder of 7
|
| | | 0 | | |
2 | 2 | 4 | 7 | 8 | 0 |
STEP 2: MULTIPLY 0 · 224 = 0
|
| | | 0 | | |
2 | 2 | 4 | 7 | 8 | 0 |
| | | 0 | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | |
2 | 2 | 4 | 7 | 8 | 0 |
| | – | 0 | | |
| | | 7 | | |
STEP 4: BRING DOWN
|
| | | 0 | | |
2 | 2 | 4 | 7 | 8 | 0 |
| | – | 0 | | |
| | | 7 | 8 | |
STEP 5: DIVIDE 78 : 224 = 0 with a remainder of 78
|
| | | 0 | 0 | |
2 | 2 | 4 | 7 | 8 | 0 |
| | – | 0 | | |
| | | 7 | 8 | |
STEP 6: MULTIPLY 0 · 224 = 0
|
| | | 0 | 0 | |
2 | 2 | 4 | 7 | 8 | 0 |
| | – | 0 | | |
| | | 7 | 8 | |
| | | | 0 | |
STEP 7: SUBTRACT 78 - 0 = 78
|
| | | 0 | 0 | |
2 | 2 | 4 | 7 | 8 | 0 |
| | – | 0 | | |
| | | 7 | 8 | |
| | | – | 0 | |
| | | 7 | 8 | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
2 | 2 | 4 | 7 | 8 | 0 |
| | – | 0 | | |
| | | 7 | 8 | |
| | | – | 0 | |
| | | 7 | 8 | 0 |
STEP 9: DIVIDE 780 : 224 = 3 with a remainder of 108
|
| | | 0 | 0 | 3 |
2 | 2 | 4 | 7 | 8 | 0 |
| | – | 0 | | |
| | | 7 | 8 | |
| | | – | 0 | |
| | | 7 | 8 | 0 |
STEP 10: MULTIPLY 3 · 224 = 672
|
| | | 0 | 0 | 3 |
2 | 2 | 4 | 7 | 8 | 0 |
| | – | 0 | | |
| | | 7 | 8 | |
| | | – | 0 | |
| | | 7 | 8 | 0 |
| | | 6 | 7 | 2 |
STEP 11: SUBTRACT 780 - 672 = 108
|
| | | 0 | 0 | 3 |
2 | 2 | 4 | 7 | 8 | 0 |
| | – | 0 | | |
| | | 7 | 8 | |
| | | – | 0 | |
| | | 7 | 8 | 0 |
| | – | 6 | 7 | 2 |
| | | 1 | 0 | 8 |
STEP 11: SUBTRACT 780 - 672 = 108
|
| | | 0 | 0 | 3 |
2 | 2 | 4 | 7 | 8 | 0 |
| | – | 0 | | |
| | | 7 | 8 | |
| | | – | 0 | |
| | | 7 | 8 | 0 |
| | – | 6 | 7 | 2 |
| | | 1 | 0 | 8 |
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