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Question
What is the quotient and remainder when $ 6884 $ is divided by $ 1200 $ ?
Answer
The quotient is 5 and the remainder is 884.
Explanation
|
Division Table
|
| | | | | 0 | 0 | 0 | 5 |
| 1 | 2 | 0 | 0 | 6 | 8 | 8 | 4 |
| | | | – | 0 | | | |
| | | | | 6 | 8 | | |
| | | | | – | 0 | | |
| | | | | 6 | 8 | 8 | |
| | | | | | – | 0 | |
| | | | | 6 | 8 | 8 | 4 |
| | | | – | 6 | 0 | 0 | 0 |
| | | | | | 8 | 8 | 4 |
STEP 0: set up a division table
|
| | | | | | | | |
| 1 | 2 | 0 | 0 | 6 | 8 | 8 | 4 |
STEP 1: DIVIDE 6 : 1200 = 0 with a remainder of 6
|
| | | | | 0 | | | |
| 1 | 2 | 0 | 0 | 6 | 8 | 8 | 4 |
STEP 2: MULTIPLY 0 · 1200 = 0
|
| | | | | 0 | | | |
| 1 | 2 | 0 | 0 | 6 | 8 | 8 | 4 |
| | | | | 0 | | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | | | | 0 | | | |
| 1 | 2 | 0 | 0 | 6 | 8 | 8 | 4 |
| | | | – | 0 | | | |
| | | | | 6 | | | |
|
STEP 4: BRING DOWN
|
| | | | | 0 | | | |
| 1 | 2 | 0 | 0 | 6 | 8 | 8 | 4 |
| | | | – | 0 | | | |
| | | | | 6 | 8 | | |
STEP 5: DIVIDE 68 : 1200 = 0 with a remainder of 68
|
| | | | | 0 | 0 | | |
| 1 | 2 | 0 | 0 | 6 | 8 | 8 | 4 |
| | | | – | 0 | | | |
| | | | | 6 | 8 | | |
STEP 6: MULTIPLY 0 · 1200 = 0
|
| | | | | 0 | 0 | | |
| 1 | 2 | 0 | 0 | 6 | 8 | 8 | 4 |
| | | | – | 0 | | | |
| | | | | 6 | 8 | | |
| | | | | | 0 | | |
STEP 7: SUBTRACT 68 - 0 = 68
|
| | | | | 0 | 0 | | |
| 1 | 2 | 0 | 0 | 6 | 8 | 8 | 4 |
| | | | – | 0 | | | |
| | | | | 6 | 8 | | |
| | | | | – | 0 | | |
| | | | | 6 | 8 | | |
|
STEP 8: BRING DOWN
|
| | | | | 0 | 0 | | |
| 1 | 2 | 0 | 0 | 6 | 8 | 8 | 4 |
| | | | – | 0 | | | |
| | | | | 6 | 8 | | |
| | | | | – | 0 | | |
| | | | | 6 | 8 | 8 | |
STEP 9: DIVIDE 688 : 1200 = 0 with a remainder of 688
|
| | | | | 0 | 0 | 0 | |
| 1 | 2 | 0 | 0 | 6 | 8 | 8 | 4 |
| | | | – | 0 | | | |
| | | | | 6 | 8 | | |
| | | | | – | 0 | | |
| | | | | 6 | 8 | 8 | |
STEP 10: MULTIPLY 0 · 1200 = 0
|
| | | | | 0 | 0 | 0 | |
| 1 | 2 | 0 | 0 | 6 | 8 | 8 | 4 |
| | | | – | 0 | | | |
| | | | | 6 | 8 | | |
| | | | | – | 0 | | |
| | | | | 6 | 8 | 8 | |
| | | | | | | 0 | |
STEP 11: SUBTRACT 688 - 0 = 688
|
| | | | | 0 | 0 | 0 | |
| 1 | 2 | 0 | 0 | 6 | 8 | 8 | 4 |
| | | | – | 0 | | | |
| | | | | 6 | 8 | | |
| | | | | – | 0 | | |
| | | | | 6 | 8 | 8 | |
| | | | | | – | 0 | |
| | | | | 6 | 8 | 8 | |
|
STEP 12: BRING DOWN
|
| | | | | 0 | 0 | 0 | |
| 1 | 2 | 0 | 0 | 6 | 8 | 8 | 4 |
| | | | – | 0 | | | |
| | | | | 6 | 8 | | |
| | | | | – | 0 | | |
| | | | | 6 | 8 | 8 | |
| | | | | | – | 0 | |
| | | | | 6 | 8 | 8 | 4 |
STEP 13: DIVIDE 6884 : 1200 = 5 with a remainder of 884
|
| | | | | 0 | 0 | 0 | 5 |
| 1 | 2 | 0 | 0 | 6 | 8 | 8 | 4 |
| | | | – | 0 | | | |
| | | | | 6 | 8 | | |
| | | | | – | 0 | | |
| | | | | 6 | 8 | 8 | |
| | | | | | – | 0 | |
| | | | | 6 | 8 | 8 | 4 |
STEP 14: MULTIPLY 5 · 1200 = 6000
|
| | | | | 0 | 0 | 0 | 5 |
| 1 | 2 | 0 | 0 | 6 | 8 | 8 | 4 |
| | | | – | 0 | | | |
| | | | | 6 | 8 | | |
| | | | | – | 0 | | |
| | | | | 6 | 8 | 8 | |
| | | | | | – | 0 | |
| | | | | 6 | 8 | 8 | 4 |
| | | | | 6 | 0 | 0 | 0 |
STEP 15: SUBTRACT 6884 - 6000 = 884
|
| | | | | 0 | 0 | 0 | 5 |
| 1 | 2 | 0 | 0 | 6 | 8 | 8 | 4 |
| | | | – | 0 | | | |
| | | | | 6 | 8 | | |
| | | | | – | 0 | | |
| | | | | 6 | 8 | 8 | |
| | | | | | – | 0 | |
| | | | | 6 | 8 | 8 | 4 |
| | | | – | 6 | 0 | 0 | 0 |
| | | | | | 8 | 8 | 4 |
STEP 15: SUBTRACT 6884 - 6000 = 884
|
| | | | | 0 | 0 | 0 | 5 |
| 1 | 2 | 0 | 0 | 6 | 8 | 8 | 4 |
| | | | – | 0 | | | |
| | | | | 6 | 8 | | |
| | | | | – | 0 | | |
| | | | | 6 | 8 | 8 | |
| | | | | | – | 0 | |
| | | | | 6 | 8 | 8 | 4 |
| | | | – | 6 | 0 | 0 | 0 |
| | | | | | 8 | 8 | 4 |
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