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What is the quotient and remainder when $ 2680 $ is divided by $ 652 $ ?
Answer
The quotient is 4 and the remainder is 72.
Explanation
Division Table
|
| | | 0 | 0 | 0 | 4 |
6 | 5 | 2 | 2 | 6 | 8 | 0 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 8 | |
| | | | – | 0 | |
| | | 2 | 6 | 8 | 0 |
| | – | 2 | 6 | 0 | 8 |
| | | | | 7 | 2 |
STEP 0: set up a division table
|
| | | | | | |
6 | 5 | 2 | 2 | 6 | 8 | 0 |
STEP 1: DIVIDE 2 : 652 = 0 with a remainder of 2
|
| | | 0 | | | |
6 | 5 | 2 | 2 | 6 | 8 | 0 |
STEP 2: MULTIPLY 0 · 652 = 0
|
| | | 0 | | | |
6 | 5 | 2 | 2 | 6 | 8 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | 0 | | | |
6 | 5 | 2 | 2 | 6 | 8 | 0 |
| | – | 0 | | | |
| | | 2 | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | |
6 | 5 | 2 | 2 | 6 | 8 | 0 |
| | – | 0 | | | |
| | | 2 | 6 | | |
STEP 5: DIVIDE 26 : 652 = 0 with a remainder of 26
|
| | | 0 | 0 | | |
6 | 5 | 2 | 2 | 6 | 8 | 0 |
| | – | 0 | | | |
| | | 2 | 6 | | |
STEP 6: MULTIPLY 0 · 652 = 0
|
| | | 0 | 0 | | |
6 | 5 | 2 | 2 | 6 | 8 | 0 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 26 - 0 = 26
|
| | | 0 | 0 | | |
6 | 5 | 2 | 2 | 6 | 8 | 0 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
6 | 5 | 2 | 2 | 6 | 8 | 0 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 8 | |
STEP 9: DIVIDE 268 : 652 = 0 with a remainder of 268
|
| | | 0 | 0 | 0 | |
6 | 5 | 2 | 2 | 6 | 8 | 0 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 8 | |
STEP 10: MULTIPLY 0 · 652 = 0
|
| | | 0 | 0 | 0 | |
6 | 5 | 2 | 2 | 6 | 8 | 0 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 8 | |
| | | | | 0 | |
STEP 11: SUBTRACT 268 - 0 = 268
|
| | | 0 | 0 | 0 | |
6 | 5 | 2 | 2 | 6 | 8 | 0 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 8 | |
| | | | – | 0 | |
| | | 2 | 6 | 8 | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 0 | |
6 | 5 | 2 | 2 | 6 | 8 | 0 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 8 | |
| | | | – | 0 | |
| | | 2 | 6 | 8 | 0 |
STEP 13: DIVIDE 2680 : 652 = 4 with a remainder of 72
|
| | | 0 | 0 | 0 | 4 |
6 | 5 | 2 | 2 | 6 | 8 | 0 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 8 | |
| | | | – | 0 | |
| | | 2 | 6 | 8 | 0 |
STEP 14: MULTIPLY 4 · 652 = 2608
|
| | | 0 | 0 | 0 | 4 |
6 | 5 | 2 | 2 | 6 | 8 | 0 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 8 | |
| | | | – | 0 | |
| | | 2 | 6 | 8 | 0 |
| | | 2 | 6 | 0 | 8 |
STEP 15: SUBTRACT 2680 - 2608 = 72
|
| | | 0 | 0 | 0 | 4 |
6 | 5 | 2 | 2 | 6 | 8 | 0 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 8 | |
| | | | – | 0 | |
| | | 2 | 6 | 8 | 0 |
| | – | 2 | 6 | 0 | 8 |
| | | | | 7 | 2 |
STEP 15: SUBTRACT 2680 - 2608 = 72
|
| | | 0 | 0 | 0 | 4 |
6 | 5 | 2 | 2 | 6 | 8 | 0 |
| | – | 0 | | | |
| | | 2 | 6 | | |
| | | – | 0 | | |
| | | 2 | 6 | 8 | |
| | | | – | 0 | |
| | | 2 | 6 | 8 | 0 |
| | – | 2 | 6 | 0 | 8 |
| | | | | 7 | 2 |
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