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What is the quotient and remainder when $ 1124 $ is divided by $ 24 $ ?
Answer
The quotient is 46 and the remainder is 20.
Explanation
Division Table
|
| | 0 | 0 | 4 | 6 |
2 | 4 | 1 | 1 | 2 | 4 |
| – | 0 | | | |
| | 1 | 1 | | |
| | – | 0 | | |
| | 1 | 1 | 2 | |
| | – | 9 | 6 | |
| | | 1 | 6 | 4 |
| | – | 1 | 4 | 4 |
| | | | 2 | 0 |
STEP 0: set up a division table
|
| | | | | |
2 | 4 | 1 | 1 | 2 | 4 |
STEP 1: DIVIDE 1 : 24 = 0 with a remainder of 1
|
| | 0 | | | |
2 | 4 | 1 | 1 | 2 | 4 |
STEP 2: MULTIPLY 0 · 24 = 0
|
| | 0 | | | |
2 | 4 | 1 | 1 | 2 | 4 |
| | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | | |
2 | 4 | 1 | 1 | 2 | 4 |
| – | 0 | | | |
| | 1 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
2 | 4 | 1 | 1 | 2 | 4 |
| – | 0 | | | |
| | 1 | 1 | | |
STEP 5: DIVIDE 11 : 24 = 0 with a remainder of 11
|
| | 0 | 0 | | |
2 | 4 | 1 | 1 | 2 | 4 |
| – | 0 | | | |
| | 1 | 1 | | |
STEP 6: MULTIPLY 0 · 24 = 0
|
| | 0 | 0 | | |
2 | 4 | 1 | 1 | 2 | 4 |
| – | 0 | | | |
| | 1 | 1 | | |
| | | 0 | | |
STEP 7: SUBTRACT 11 - 0 = 11
|
| | 0 | 0 | | |
2 | 4 | 1 | 1 | 2 | 4 |
| – | 0 | | | |
| | 1 | 1 | | |
| | – | 0 | | |
| | 1 | 1 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
2 | 4 | 1 | 1 | 2 | 4 |
| – | 0 | | | |
| | 1 | 1 | | |
| | – | 0 | | |
| | 1 | 1 | 2 | |
STEP 9: DIVIDE 112 : 24 = 4 with a remainder of 16
|
| | 0 | 0 | 4 | |
2 | 4 | 1 | 1 | 2 | 4 |
| – | 0 | | | |
| | 1 | 1 | | |
| | – | 0 | | |
| | 1 | 1 | 2 | |
STEP 10: MULTIPLY 4 · 24 = 96
|
| | 0 | 0 | 4 | |
2 | 4 | 1 | 1 | 2 | 4 |
| – | 0 | | | |
| | 1 | 1 | | |
| | – | 0 | | |
| | 1 | 1 | 2 | |
| | | 9 | 6 | |
STEP 11: SUBTRACT 112 - 96 = 16
|
| | 0 | 0 | 4 | |
2 | 4 | 1 | 1 | 2 | 4 |
| – | 0 | | | |
| | 1 | 1 | | |
| | – | 0 | | |
| | 1 | 1 | 2 | |
| | – | 9 | 6 | |
| | | 1 | 6 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 4 | |
2 | 4 | 1 | 1 | 2 | 4 |
| – | 0 | | | |
| | 1 | 1 | | |
| | – | 0 | | |
| | 1 | 1 | 2 | |
| | – | 9 | 6 | |
| | | 1 | 6 | 4 |
STEP 13: DIVIDE 164 : 24 = 6 with a remainder of 20
|
| | 0 | 0 | 4 | 6 |
2 | 4 | 1 | 1 | 2 | 4 |
| – | 0 | | | |
| | 1 | 1 | | |
| | – | 0 | | |
| | 1 | 1 | 2 | |
| | – | 9 | 6 | |
| | | 1 | 6 | 4 |
STEP 14: MULTIPLY 6 · 24 = 144
|
| | 0 | 0 | 4 | 6 |
2 | 4 | 1 | 1 | 2 | 4 |
| – | 0 | | | |
| | 1 | 1 | | |
| | – | 0 | | |
| | 1 | 1 | 2 | |
| | – | 9 | 6 | |
| | | 1 | 6 | 4 |
| | | 1 | 4 | 4 |
STEP 15: SUBTRACT 164 - 144 = 20
|
| | 0 | 0 | 4 | 6 |
2 | 4 | 1 | 1 | 2 | 4 |
| – | 0 | | | |
| | 1 | 1 | | |
| | – | 0 | | |
| | 1 | 1 | 2 | |
| | – | 9 | 6 | |
| | | 1 | 6 | 4 |
| | – | 1 | 4 | 4 |
| | | | 2 | 0 |
STEP 15: SUBTRACT 164 - 144 = 20
|
| | 0 | 0 | 4 | 6 |
2 | 4 | 1 | 1 | 2 | 4 |
| – | 0 | | | |
| | 1 | 1 | | |
| | – | 0 | | |
| | 1 | 1 | 2 | |
| | – | 9 | 6 | |
| | | 1 | 6 | 4 |
| | – | 1 | 4 | 4 |
| | | | 2 | 0 |
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