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Question
What is the quotient and remainder when $ 4544 $ is divided by $ 18 $ ?
Answer
The quotient is 252 and the remainder is 8.
Explanation
|
Division Table
|
| | | 0 | 2 | 5 | 2 |
| 1 | 8 | 4 | 5 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | – | 3 | 6 | | |
| | | | 9 | 4 | |
| | | – | 9 | 0 | |
| | | | | 4 | 4 |
| | | | – | 3 | 6 |
| | | | | | 8 |
STEP 0: set up a division table
|
| | | | | | |
| 1 | 8 | 4 | 5 | 4 | 4 |
STEP 1: DIVIDE 4 : 18 = 0 with a remainder of 4
|
| | | 0 | | | |
| 1 | 8 | 4 | 5 | 4 | 4 |
STEP 2: MULTIPLY 0 · 18 = 0
|
| | | 0 | | | |
| 1 | 8 | 4 | 5 | 4 | 4 |
| | | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | 0 | | | |
| 1 | 8 | 4 | 5 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 1 | 8 | 4 | 5 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 5 | | |
STEP 5: DIVIDE 45 : 18 = 2 with a remainder of 9
|
| | | 0 | 2 | | |
| 1 | 8 | 4 | 5 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 5 | | |
STEP 6: MULTIPLY 2 · 18 = 36
|
| | | 0 | 2 | | |
| 1 | 8 | 4 | 5 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | | 3 | 6 | | |
STEP 7: SUBTRACT 45 - 36 = 9
|
| | | 0 | 2 | | |
| 1 | 8 | 4 | 5 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | – | 3 | 6 | | |
| | | | 9 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | | |
| 1 | 8 | 4 | 5 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | – | 3 | 6 | | |
| | | | 9 | 4 | |
STEP 9: DIVIDE 94 : 18 = 5 with a remainder of 4
|
| | | 0 | 2 | 5 | |
| 1 | 8 | 4 | 5 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | – | 3 | 6 | | |
| | | | 9 | 4 | |
STEP 10: MULTIPLY 5 · 18 = 90
|
| | | 0 | 2 | 5 | |
| 1 | 8 | 4 | 5 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | – | 3 | 6 | | |
| | | | 9 | 4 | |
| | | | 9 | 0 | |
STEP 11: SUBTRACT 94 - 90 = 4
|
| | | 0 | 2 | 5 | |
| 1 | 8 | 4 | 5 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | – | 3 | 6 | | |
| | | | 9 | 4 | |
| | | – | 9 | 0 | |
| | | | | 4 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 2 | 5 | |
| 1 | 8 | 4 | 5 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | – | 3 | 6 | | |
| | | | 9 | 4 | |
| | | – | 9 | 0 | |
| | | | | 4 | 4 |
STEP 13: DIVIDE 44 : 18 = 2 with a remainder of 8
|
| | | 0 | 2 | 5 | 2 |
| 1 | 8 | 4 | 5 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | – | 3 | 6 | | |
| | | | 9 | 4 | |
| | | – | 9 | 0 | |
| | | | | 4 | 4 |
STEP 14: MULTIPLY 2 · 18 = 36
|
| | | 0 | 2 | 5 | 2 |
| 1 | 8 | 4 | 5 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | – | 3 | 6 | | |
| | | | 9 | 4 | |
| | | – | 9 | 0 | |
| | | | | 4 | 4 |
| | | | | 3 | 6 |
STEP 15: SUBTRACT 44 - 36 = 8
|
| | | 0 | 2 | 5 | 2 |
| 1 | 8 | 4 | 5 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | – | 3 | 6 | | |
| | | | 9 | 4 | |
| | | – | 9 | 0 | |
| | | | | 4 | 4 |
| | | | – | 3 | 6 |
| | | | | | 8 |
STEP 15: SUBTRACT 44 - 36 = 8
|
| | | 0 | 2 | 5 | 2 |
| 1 | 8 | 4 | 5 | 4 | 4 |
| | – | 0 | | | |
| | | 4 | 5 | | |
| | – | 3 | 6 | | |
| | | | 9 | 4 | |
| | | – | 9 | 0 | |
| | | | | 4 | 4 |
| | | | – | 3 | 6 |
| | | | | | 8 |
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