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Question
What is the quotient and remainder when $ 8254 $ is divided by $ 30 $ ?
Answer
The quotient is 275 and the remainder is 4.
Explanation
|
Division Table
|
| | | 0 | 2 | 7 | 5 |
| 3 | 0 | 8 | 2 | 5 | 4 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 6 | 0 | | |
| | | 2 | 2 | 5 | |
| | – | 2 | 1 | 0 | |
| | | | 1 | 5 | 4 |
| | | – | 1 | 5 | 0 |
| | | | | | 4 |
STEP 0: set up a division table
|
| | | | | | |
| 3 | 0 | 8 | 2 | 5 | 4 |
STEP 1: DIVIDE 8 : 30 = 0 with a remainder of 8
|
| | | 0 | | | |
| 3 | 0 | 8 | 2 | 5 | 4 |
STEP 2: MULTIPLY 0 · 30 = 0
|
| | | 0 | | | |
| 3 | 0 | 8 | 2 | 5 | 4 |
| | | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | | |
| 3 | 0 | 8 | 2 | 5 | 4 |
| | – | 0 | | | |
| | | 8 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 3 | 0 | 8 | 2 | 5 | 4 |
| | – | 0 | | | |
| | | 8 | 2 | | |
STEP 5: DIVIDE 82 : 30 = 2 with a remainder of 22
|
| | | 0 | 2 | | |
| 3 | 0 | 8 | 2 | 5 | 4 |
| | – | 0 | | | |
| | | 8 | 2 | | |
STEP 6: MULTIPLY 2 · 30 = 60
|
| | | 0 | 2 | | |
| 3 | 0 | 8 | 2 | 5 | 4 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | | 6 | 0 | | |
STEP 7: SUBTRACT 82 - 60 = 22
|
| | | 0 | 2 | | |
| 3 | 0 | 8 | 2 | 5 | 4 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 6 | 0 | | |
| | | 2 | 2 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | | |
| 3 | 0 | 8 | 2 | 5 | 4 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 6 | 0 | | |
| | | 2 | 2 | 5 | |
STEP 9: DIVIDE 225 : 30 = 7 with a remainder of 15
|
| | | 0 | 2 | 7 | |
| 3 | 0 | 8 | 2 | 5 | 4 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 6 | 0 | | |
| | | 2 | 2 | 5 | |
STEP 10: MULTIPLY 7 · 30 = 210
|
| | | 0 | 2 | 7 | |
| 3 | 0 | 8 | 2 | 5 | 4 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 6 | 0 | | |
| | | 2 | 2 | 5 | |
| | | 2 | 1 | 0 | |
STEP 11: SUBTRACT 225 - 210 = 15
|
| | | 0 | 2 | 7 | |
| 3 | 0 | 8 | 2 | 5 | 4 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 6 | 0 | | |
| | | 2 | 2 | 5 | |
| | – | 2 | 1 | 0 | |
| | | | 1 | 5 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 2 | 7 | |
| 3 | 0 | 8 | 2 | 5 | 4 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 6 | 0 | | |
| | | 2 | 2 | 5 | |
| | – | 2 | 1 | 0 | |
| | | | 1 | 5 | 4 |
STEP 13: DIVIDE 154 : 30 = 5 with a remainder of 4
|
| | | 0 | 2 | 7 | 5 |
| 3 | 0 | 8 | 2 | 5 | 4 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 6 | 0 | | |
| | | 2 | 2 | 5 | |
| | – | 2 | 1 | 0 | |
| | | | 1 | 5 | 4 |
STEP 14: MULTIPLY 5 · 30 = 150
|
| | | 0 | 2 | 7 | 5 |
| 3 | 0 | 8 | 2 | 5 | 4 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 6 | 0 | | |
| | | 2 | 2 | 5 | |
| | – | 2 | 1 | 0 | |
| | | | 1 | 5 | 4 |
| | | | 1 | 5 | 0 |
STEP 15: SUBTRACT 154 - 150 = 4
|
| | | 0 | 2 | 7 | 5 |
| 3 | 0 | 8 | 2 | 5 | 4 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 6 | 0 | | |
| | | 2 | 2 | 5 | |
| | – | 2 | 1 | 0 | |
| | | | 1 | 5 | 4 |
| | | – | 1 | 5 | 0 |
| | | | | | 4 |
STEP 15: SUBTRACT 154 - 150 = 4
|
| | | 0 | 2 | 7 | 5 |
| 3 | 0 | 8 | 2 | 5 | 4 |
| | – | 0 | | | |
| | | 8 | 2 | | |
| | – | 6 | 0 | | |
| | | 2 | 2 | 5 | |
| | – | 2 | 1 | 0 | |
| | | | 1 | 5 | 4 |
| | | – | 1 | 5 | 0 |
| | | | | | 4 |
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