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Question
What is the quotient and remainder when $ 5421 $ is divided by $ 24 $ ?
Answer
The quotient is 225 and the remainder is 21.
Explanation
Division Table
|
| | 0 | 2 | 2 | 5 |
2 | 4 | 5 | 4 | 2 | 1 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 2 | |
| | – | 4 | 8 | |
| | | 1 | 4 | 1 |
| | – | 1 | 2 | 0 |
| | | | 2 | 1 |
STEP 0: set up a division table
|
| | | | | |
2 | 4 | 5 | 4 | 2 | 1 |
STEP 1: DIVIDE 5 : 24 = 0 with a remainder of 5
|
| | 0 | | | |
2 | 4 | 5 | 4 | 2 | 1 |
STEP 2: MULTIPLY 0 · 24 = 0
|
| | 0 | | | |
2 | 4 | 5 | 4 | 2 | 1 |
| | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | 0 | | | |
2 | 4 | 5 | 4 | 2 | 1 |
| – | 0 | | | |
| | 5 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
2 | 4 | 5 | 4 | 2 | 1 |
| – | 0 | | | |
| | 5 | 4 | | |
STEP 5: DIVIDE 54 : 24 = 2 with a remainder of 6
|
| | 0 | 2 | | |
2 | 4 | 5 | 4 | 2 | 1 |
| – | 0 | | | |
| | 5 | 4 | | |
STEP 6: MULTIPLY 2 · 24 = 48
|
| | 0 | 2 | | |
2 | 4 | 5 | 4 | 2 | 1 |
| – | 0 | | | |
| | 5 | 4 | | |
| | 4 | 8 | | |
STEP 7: SUBTRACT 54 - 48 = 6
|
| | 0 | 2 | | |
2 | 4 | 5 | 4 | 2 | 1 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | | |
STEP 8: BRING DOWN
|
| | 0 | 2 | | |
2 | 4 | 5 | 4 | 2 | 1 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 2 | |
STEP 9: DIVIDE 62 : 24 = 2 with a remainder of 14
|
| | 0 | 2 | 2 | |
2 | 4 | 5 | 4 | 2 | 1 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 2 | |
STEP 10: MULTIPLY 2 · 24 = 48
|
| | 0 | 2 | 2 | |
2 | 4 | 5 | 4 | 2 | 1 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 2 | |
| | | 4 | 8 | |
STEP 11: SUBTRACT 62 - 48 = 14
|
| | 0 | 2 | 2 | |
2 | 4 | 5 | 4 | 2 | 1 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 2 | |
| | – | 4 | 8 | |
| | | 1 | 4 | |
STEP 12: BRING DOWN
|
| | 0 | 2 | 2 | |
2 | 4 | 5 | 4 | 2 | 1 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 2 | |
| | – | 4 | 8 | |
| | | 1 | 4 | 1 |
STEP 13: DIVIDE 141 : 24 = 5 with a remainder of 21
|
| | 0 | 2 | 2 | 5 |
2 | 4 | 5 | 4 | 2 | 1 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 2 | |
| | – | 4 | 8 | |
| | | 1 | 4 | 1 |
STEP 14: MULTIPLY 5 · 24 = 120
|
| | 0 | 2 | 2 | 5 |
2 | 4 | 5 | 4 | 2 | 1 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 2 | |
| | – | 4 | 8 | |
| | | 1 | 4 | 1 |
| | | 1 | 2 | 0 |
STEP 15: SUBTRACT 141 - 120 = 21
|
| | 0 | 2 | 2 | 5 |
2 | 4 | 5 | 4 | 2 | 1 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 2 | |
| | – | 4 | 8 | |
| | | 1 | 4 | 1 |
| | – | 1 | 2 | 0 |
| | | | 2 | 1 |
STEP 15: SUBTRACT 141 - 120 = 21
|
| | 0 | 2 | 2 | 5 |
2 | 4 | 5 | 4 | 2 | 1 |
| – | 0 | | | |
| | 5 | 4 | | |
| – | 4 | 8 | | |
| | | 6 | 2 | |
| | – | 4 | 8 | |
| | | 1 | 4 | 1 |
| | – | 1 | 2 | 0 |
| | | | 2 | 1 |
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