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Question
What is the quotient and remainder when $ 1122 $ is divided by $ 5600000 $ ?
Answer
The quotient is 0 and the remainder is 1122.
Explanation
|
Division Table
|
| | | | | | | | 0 | 0 | 0 | 0 |
| 5 | 6 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 |
| | | | | | | – | 0 | | | |
| | | | | | | | 1 | 1 | | |
| | | | | | | | – | 0 | | |
| | | | | | | | 1 | 1 | 2 | |
| | | | | | | | | – | 0 | |
| | | | | | | | 1 | 1 | 2 | 2 |
| | | | | | | | | | – | 0 |
| | | | | | | | 1 | 1 | 2 | 2 |
STEP 0: set up a division table
|
| | | | | | | | | | | |
| 5 | 6 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 |
STEP 1: DIVIDE 1 : 5600000 = 0 with a remainder of 1
|
| | | | | | | | 0 | | | |
| 5 | 6 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 |
STEP 2: MULTIPLY 0 · 5600000 = 0
|
| | | | | | | | 0 | | | |
| 5 | 6 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 |
| | | | | | | | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | | | | | | 0 | | | |
| 5 | 6 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 |
| | | | | | | – | 0 | | | |
| | | | | | | | 1 | | | |
|
STEP 4: BRING DOWN
|
| | | | | | | | 0 | | | |
| 5 | 6 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 |
| | | | | | | – | 0 | | | |
| | | | | | | | 1 | 1 | | |
STEP 5: DIVIDE 11 : 5600000 = 0 with a remainder of 11
|
| | | | | | | | 0 | 0 | | |
| 5 | 6 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 |
| | | | | | | – | 0 | | | |
| | | | | | | | 1 | 1 | | |
STEP 6: MULTIPLY 0 · 5600000 = 0
|
| | | | | | | | 0 | 0 | | |
| 5 | 6 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 |
| | | | | | | – | 0 | | | |
| | | | | | | | 1 | 1 | | |
| | | | | | | | | 0 | | |
STEP 7: SUBTRACT 11 - 0 = 11
|
| | | | | | | | 0 | 0 | | |
| 5 | 6 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 |
| | | | | | | – | 0 | | | |
| | | | | | | | 1 | 1 | | |
| | | | | | | | – | 0 | | |
| | | | | | | | 1 | 1 | | |
|
STEP 8: BRING DOWN
|
| | | | | | | | 0 | 0 | | |
| 5 | 6 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 |
| | | | | | | – | 0 | | | |
| | | | | | | | 1 | 1 | | |
| | | | | | | | – | 0 | | |
| | | | | | | | 1 | 1 | 2 | |
STEP 9: DIVIDE 112 : 5600000 = 0 with a remainder of 112
|
| | | | | | | | 0 | 0 | 0 | |
| 5 | 6 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 |
| | | | | | | – | 0 | | | |
| | | | | | | | 1 | 1 | | |
| | | | | | | | – | 0 | | |
| | | | | | | | 1 | 1 | 2 | |
STEP 10: MULTIPLY 0 · 5600000 = 0
|
| | | | | | | | 0 | 0 | 0 | |
| 5 | 6 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 |
| | | | | | | – | 0 | | | |
| | | | | | | | 1 | 1 | | |
| | | | | | | | – | 0 | | |
| | | | | | | | 1 | 1 | 2 | |
| | | | | | | | | | 0 | |
STEP 11: SUBTRACT 112 - 0 = 112
|
| | | | | | | | 0 | 0 | 0 | |
| 5 | 6 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 |
| | | | | | | – | 0 | | | |
| | | | | | | | 1 | 1 | | |
| | | | | | | | – | 0 | | |
| | | | | | | | 1 | 1 | 2 | |
| | | | | | | | | – | 0 | |
| | | | | | | | 1 | 1 | 2 | |
|
STEP 12: BRING DOWN
|
| | | | | | | | 0 | 0 | 0 | |
| 5 | 6 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 |
| | | | | | | – | 0 | | | |
| | | | | | | | 1 | 1 | | |
| | | | | | | | – | 0 | | |
| | | | | | | | 1 | 1 | 2 | |
| | | | | | | | | – | 0 | |
| | | | | | | | 1 | 1 | 2 | 2 |
STEP 13: DIVIDE 1122 : 5600000 = 0 with a remainder of 1122
|
| | | | | | | | 0 | 0 | 0 | 0 |
| 5 | 6 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 |
| | | | | | | – | 0 | | | |
| | | | | | | | 1 | 1 | | |
| | | | | | | | – | 0 | | |
| | | | | | | | 1 | 1 | 2 | |
| | | | | | | | | – | 0 | |
| | | | | | | | 1 | 1 | 2 | 2 |
STEP 14: MULTIPLY 0 · 5600000 = 0
|
| | | | | | | | 0 | 0 | 0 | 0 |
| 5 | 6 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 |
| | | | | | | – | 0 | | | |
| | | | | | | | 1 | 1 | | |
| | | | | | | | – | 0 | | |
| | | | | | | | 1 | 1 | 2 | |
| | | | | | | | | – | 0 | |
| | | | | | | | 1 | 1 | 2 | 2 |
| | | | | | | | | | | 0 |
STEP 15: SUBTRACT 1122 - 0 = 1122
|
| | | | | | | | 0 | 0 | 0 | 0 |
| 5 | 6 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 |
| | | | | | | – | 0 | | | |
| | | | | | | | 1 | 1 | | |
| | | | | | | | – | 0 | | |
| | | | | | | | 1 | 1 | 2 | |
| | | | | | | | | – | 0 | |
| | | | | | | | 1 | 1 | 2 | 2 |
| | | | | | | | | | – | 0 |
| | | | | | | | 1 | 1 | 2 | 2 |
STEP 15: SUBTRACT 1122 - 0 = 1122
|
| | | | | | | | 0 | 0 | 0 | 0 |
| 5 | 6 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 2 |
| | | | | | | – | 0 | | | |
| | | | | | | | 1 | 1 | | |
| | | | | | | | – | 0 | | |
| | | | | | | | 1 | 1 | 2 | |
| | | | | | | | | – | 0 | |
| | | | | | | | 1 | 1 | 2 | 2 |
| | | | | | | | | | – | 0 |
| | | | | | | | 1 | 1 | 2 | 2 |
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