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What is the quotient and remainder when $ 9548 $ is divided by $ 124 $ ?
Answer
The quotient is 77 and the remainder is 0.
Explanation
Division Table
|
| | | 0 | 0 | 7 | 7 |
1 | 2 | 4 | 9 | 5 | 4 | 8 |
| | – | 0 | | | |
| | | 9 | 5 | | |
| | | – | 0 | | |
| | | 9 | 5 | 4 | |
| | – | 8 | 6 | 8 | |
| | | | 8 | 6 | 8 |
| | | – | 8 | 6 | 8 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
1 | 2 | 4 | 9 | 5 | 4 | 8 |
STEP 1: DIVIDE 9 : 124 = 0 with a remainder of 9
|
| | | 0 | | | |
1 | 2 | 4 | 9 | 5 | 4 | 8 |
STEP 2: MULTIPLY 0 · 124 = 0
|
| | | 0 | | | |
1 | 2 | 4 | 9 | 5 | 4 | 8 |
| | | 0 | | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | 0 | | | |
1 | 2 | 4 | 9 | 5 | 4 | 8 |
| | – | 0 | | | |
| | | 9 | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | |
1 | 2 | 4 | 9 | 5 | 4 | 8 |
| | – | 0 | | | |
| | | 9 | 5 | | |
STEP 5: DIVIDE 95 : 124 = 0 with a remainder of 95
|
| | | 0 | 0 | | |
1 | 2 | 4 | 9 | 5 | 4 | 8 |
| | – | 0 | | | |
| | | 9 | 5 | | |
STEP 6: MULTIPLY 0 · 124 = 0
|
| | | 0 | 0 | | |
1 | 2 | 4 | 9 | 5 | 4 | 8 |
| | – | 0 | | | |
| | | 9 | 5 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 95 - 0 = 95
|
| | | 0 | 0 | | |
1 | 2 | 4 | 9 | 5 | 4 | 8 |
| | – | 0 | | | |
| | | 9 | 5 | | |
| | | – | 0 | | |
| | | 9 | 5 | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
1 | 2 | 4 | 9 | 5 | 4 | 8 |
| | – | 0 | | | |
| | | 9 | 5 | | |
| | | – | 0 | | |
| | | 9 | 5 | 4 | |
STEP 9: DIVIDE 954 : 124 = 7 with a remainder of 86
|
| | | 0 | 0 | 7 | |
1 | 2 | 4 | 9 | 5 | 4 | 8 |
| | – | 0 | | | |
| | | 9 | 5 | | |
| | | – | 0 | | |
| | | 9 | 5 | 4 | |
STEP 10: MULTIPLY 7 · 124 = 868
|
| | | 0 | 0 | 7 | |
1 | 2 | 4 | 9 | 5 | 4 | 8 |
| | – | 0 | | | |
| | | 9 | 5 | | |
| | | – | 0 | | |
| | | 9 | 5 | 4 | |
| | | 8 | 6 | 8 | |
STEP 11: SUBTRACT 954 - 868 = 86
|
| | | 0 | 0 | 7 | |
1 | 2 | 4 | 9 | 5 | 4 | 8 |
| | – | 0 | | | |
| | | 9 | 5 | | |
| | | – | 0 | | |
| | | 9 | 5 | 4 | |
| | – | 8 | 6 | 8 | |
| | | | 8 | 6 | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 7 | |
1 | 2 | 4 | 9 | 5 | 4 | 8 |
| | – | 0 | | | |
| | | 9 | 5 | | |
| | | – | 0 | | |
| | | 9 | 5 | 4 | |
| | – | 8 | 6 | 8 | |
| | | | 8 | 6 | 8 |
STEP 13: DIVIDE 868 : 124 = 7 with a remainder of 0
|
| | | 0 | 0 | 7 | 7 |
1 | 2 | 4 | 9 | 5 | 4 | 8 |
| | – | 0 | | | |
| | | 9 | 5 | | |
| | | – | 0 | | |
| | | 9 | 5 | 4 | |
| | – | 8 | 6 | 8 | |
| | | | 8 | 6 | 8 |
STEP 14: MULTIPLY 7 · 124 = 868
|
| | | 0 | 0 | 7 | 7 |
1 | 2 | 4 | 9 | 5 | 4 | 8 |
| | – | 0 | | | |
| | | 9 | 5 | | |
| | | – | 0 | | |
| | | 9 | 5 | 4 | |
| | – | 8 | 6 | 8 | |
| | | | 8 | 6 | 8 |
| | | | 8 | 6 | 8 |
STEP 15: SUBTRACT 868 - 868 = 0
|
| | | 0 | 0 | 7 | 7 |
1 | 2 | 4 | 9 | 5 | 4 | 8 |
| | – | 0 | | | |
| | | 9 | 5 | | |
| | | – | 0 | | |
| | | 9 | 5 | 4 | |
| | – | 8 | 6 | 8 | |
| | | | 8 | 6 | 8 |
| | | – | 8 | 6 | 8 |
| | | | | | 0 |
STEP 15: SUBTRACT 868 - 868 = 0
|
| | | 0 | 0 | 7 | 7 |
1 | 2 | 4 | 9 | 5 | 4 | 8 |
| | – | 0 | | | |
| | | 9 | 5 | | |
| | | – | 0 | | |
| | | 9 | 5 | 4 | |
| | – | 8 | 6 | 8 | |
| | | | 8 | 6 | 8 |
| | | – | 8 | 6 | 8 |
| | | | | | 0 |
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