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Question
What is the quotient and remainder when $ 7152 $ is divided by $ 48 $ ?
Answer
The quotient is 149 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 1 | 4 | 9 |
| 4 | 8 | 7 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 7 | 1 | | |
| | – | 4 | 8 | | |
| | | 2 | 3 | 5 | |
| | – | 1 | 9 | 2 | |
| | | | 4 | 3 | 2 |
| | | – | 4 | 3 | 2 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 4 | 8 | 7 | 1 | 5 | 2 |
STEP 1: DIVIDE 7 : 48 = 0 with a remainder of 7
|
| | | 0 | | | |
| 4 | 8 | 7 | 1 | 5 | 2 |
STEP 2: MULTIPLY 0 · 48 = 0
|
| | | 0 | | | |
| 4 | 8 | 7 | 1 | 5 | 2 |
| | | 0 | | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | | |
| 4 | 8 | 7 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 7 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 4 | 8 | 7 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 7 | 1 | | |
STEP 5: DIVIDE 71 : 48 = 1 with a remainder of 23
|
| | | 0 | 1 | | |
| 4 | 8 | 7 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 7 | 1 | | |
STEP 6: MULTIPLY 1 · 48 = 48
|
| | | 0 | 1 | | |
| 4 | 8 | 7 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 7 | 1 | | |
| | | 4 | 8 | | |
STEP 7: SUBTRACT 71 - 48 = 23
|
| | | 0 | 1 | | |
| 4 | 8 | 7 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 7 | 1 | | |
| | – | 4 | 8 | | |
| | | 2 | 3 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | |
| 4 | 8 | 7 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 7 | 1 | | |
| | – | 4 | 8 | | |
| | | 2 | 3 | 5 | |
STEP 9: DIVIDE 235 : 48 = 4 with a remainder of 43
|
| | | 0 | 1 | 4 | |
| 4 | 8 | 7 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 7 | 1 | | |
| | – | 4 | 8 | | |
| | | 2 | 3 | 5 | |
STEP 10: MULTIPLY 4 · 48 = 192
|
| | | 0 | 1 | 4 | |
| 4 | 8 | 7 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 7 | 1 | | |
| | – | 4 | 8 | | |
| | | 2 | 3 | 5 | |
| | | 1 | 9 | 2 | |
STEP 11: SUBTRACT 235 - 192 = 43
|
| | | 0 | 1 | 4 | |
| 4 | 8 | 7 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 7 | 1 | | |
| | – | 4 | 8 | | |
| | | 2 | 3 | 5 | |
| | – | 1 | 9 | 2 | |
| | | | 4 | 3 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 4 | |
| 4 | 8 | 7 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 7 | 1 | | |
| | – | 4 | 8 | | |
| | | 2 | 3 | 5 | |
| | – | 1 | 9 | 2 | |
| | | | 4 | 3 | 2 |
STEP 13: DIVIDE 432 : 48 = 9 with a remainder of 0
|
| | | 0 | 1 | 4 | 9 |
| 4 | 8 | 7 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 7 | 1 | | |
| | – | 4 | 8 | | |
| | | 2 | 3 | 5 | |
| | – | 1 | 9 | 2 | |
| | | | 4 | 3 | 2 |
STEP 14: MULTIPLY 9 · 48 = 432
|
| | | 0 | 1 | 4 | 9 |
| 4 | 8 | 7 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 7 | 1 | | |
| | – | 4 | 8 | | |
| | | 2 | 3 | 5 | |
| | – | 1 | 9 | 2 | |
| | | | 4 | 3 | 2 |
| | | | 4 | 3 | 2 |
STEP 15: SUBTRACT 432 - 432 = 0
|
| | | 0 | 1 | 4 | 9 |
| 4 | 8 | 7 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 7 | 1 | | |
| | – | 4 | 8 | | |
| | | 2 | 3 | 5 | |
| | – | 1 | 9 | 2 | |
| | | | 4 | 3 | 2 |
| | | – | 4 | 3 | 2 |
| | | | | | 0 |
STEP 15: SUBTRACT 432 - 432 = 0
|
| | | 0 | 1 | 4 | 9 |
| 4 | 8 | 7 | 1 | 5 | 2 |
| | – | 0 | | | |
| | | 7 | 1 | | |
| | – | 4 | 8 | | |
| | | 2 | 3 | 5 | |
| | – | 1 | 9 | 2 | |
| | | | 4 | 3 | 2 |
| | | – | 4 | 3 | 2 |
| | | | | | 0 |
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