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Question
What is the quotient and remainder when $ 5236 $ is divided by $ 45 $ ?
Answer
The quotient is 116 and the remainder is 16.
Explanation
|
Division Table
|
| | | 0 | 1 | 1 | 6 |
| 4 | 5 | 5 | 2 | 3 | 6 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 5 | | |
| | | | 7 | 3 | |
| | | – | 4 | 5 | |
| | | | 2 | 8 | 6 |
| | | – | 2 | 7 | 0 |
| | | | | 1 | 6 |
STEP 0: set up a division table
|
| | | | | | |
| 4 | 5 | 5 | 2 | 3 | 6 |
STEP 1: DIVIDE 5 : 45 = 0 with a remainder of 5
|
| | | 0 | | | |
| 4 | 5 | 5 | 2 | 3 | 6 |
STEP 2: MULTIPLY 0 · 45 = 0
|
| | | 0 | | | |
| 4 | 5 | 5 | 2 | 3 | 6 |
| | | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | | 0 | | | |
| 4 | 5 | 5 | 2 | 3 | 6 |
| | – | 0 | | | |
| | | 5 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 4 | 5 | 5 | 2 | 3 | 6 |
| | – | 0 | | | |
| | | 5 | 2 | | |
STEP 5: DIVIDE 52 : 45 = 1 with a remainder of 7
|
| | | 0 | 1 | | |
| 4 | 5 | 5 | 2 | 3 | 6 |
| | – | 0 | | | |
| | | 5 | 2 | | |
STEP 6: MULTIPLY 1 · 45 = 45
|
| | | 0 | 1 | | |
| 4 | 5 | 5 | 2 | 3 | 6 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | | 4 | 5 | | |
STEP 7: SUBTRACT 52 - 45 = 7
|
| | | 0 | 1 | | |
| 4 | 5 | 5 | 2 | 3 | 6 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 5 | | |
| | | | 7 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | |
| 4 | 5 | 5 | 2 | 3 | 6 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 5 | | |
| | | | 7 | 3 | |
STEP 9: DIVIDE 73 : 45 = 1 with a remainder of 28
|
| | | 0 | 1 | 1 | |
| 4 | 5 | 5 | 2 | 3 | 6 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 5 | | |
| | | | 7 | 3 | |
STEP 10: MULTIPLY 1 · 45 = 45
|
| | | 0 | 1 | 1 | |
| 4 | 5 | 5 | 2 | 3 | 6 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 5 | | |
| | | | 7 | 3 | |
| | | | 4 | 5 | |
STEP 11: SUBTRACT 73 - 45 = 28
|
| | | 0 | 1 | 1 | |
| 4 | 5 | 5 | 2 | 3 | 6 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 5 | | |
| | | | 7 | 3 | |
| | | – | 4 | 5 | |
| | | | 2 | 8 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 1 | |
| 4 | 5 | 5 | 2 | 3 | 6 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 5 | | |
| | | | 7 | 3 | |
| | | – | 4 | 5 | |
| | | | 2 | 8 | 6 |
STEP 13: DIVIDE 286 : 45 = 6 with a remainder of 16
|
| | | 0 | 1 | 1 | 6 |
| 4 | 5 | 5 | 2 | 3 | 6 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 5 | | |
| | | | 7 | 3 | |
| | | – | 4 | 5 | |
| | | | 2 | 8 | 6 |
STEP 14: MULTIPLY 6 · 45 = 270
|
| | | 0 | 1 | 1 | 6 |
| 4 | 5 | 5 | 2 | 3 | 6 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 5 | | |
| | | | 7 | 3 | |
| | | – | 4 | 5 | |
| | | | 2 | 8 | 6 |
| | | | 2 | 7 | 0 |
STEP 15: SUBTRACT 286 - 270 = 16
|
| | | 0 | 1 | 1 | 6 |
| 4 | 5 | 5 | 2 | 3 | 6 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 5 | | |
| | | | 7 | 3 | |
| | | – | 4 | 5 | |
| | | | 2 | 8 | 6 |
| | | – | 2 | 7 | 0 |
| | | | | 1 | 6 |
STEP 15: SUBTRACT 286 - 270 = 16
|
| | | 0 | 1 | 1 | 6 |
| 4 | 5 | 5 | 2 | 3 | 6 |
| | – | 0 | | | |
| | | 5 | 2 | | |
| | – | 4 | 5 | | |
| | | | 7 | 3 | |
| | | – | 4 | 5 | |
| | | | 2 | 8 | 6 |
| | | – | 2 | 7 | 0 |
| | | | | 1 | 6 |
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