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Question
What is the quotient and remainder when $ 8030 $ is divided by $ 22 $ ?
Answer
The quotient is 365 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 3 | 6 | 5 |
| 2 | 2 | 8 | 0 | 3 | 0 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 6 | 6 | | |
| | | 1 | 4 | 3 | |
| | – | 1 | 3 | 2 | |
| | | | 1 | 1 | 0 |
| | | – | 1 | 1 | 0 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 2 | 2 | 8 | 0 | 3 | 0 |
STEP 1: DIVIDE 8 : 22 = 0 with a remainder of 8
|
| | | 0 | | | |
| 2 | 2 | 8 | 0 | 3 | 0 |
STEP 2: MULTIPLY 0 · 22 = 0
|
| | | 0 | | | |
| 2 | 2 | 8 | 0 | 3 | 0 |
| | | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | | |
| 2 | 2 | 8 | 0 | 3 | 0 |
| | – | 0 | | | |
| | | 8 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 2 | 2 | 8 | 0 | 3 | 0 |
| | – | 0 | | | |
| | | 8 | 0 | | |
STEP 5: DIVIDE 80 : 22 = 3 with a remainder of 14
|
| | | 0 | 3 | | |
| 2 | 2 | 8 | 0 | 3 | 0 |
| | – | 0 | | | |
| | | 8 | 0 | | |
STEP 6: MULTIPLY 3 · 22 = 66
|
| | | 0 | 3 | | |
| 2 | 2 | 8 | 0 | 3 | 0 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | | 6 | 6 | | |
STEP 7: SUBTRACT 80 - 66 = 14
|
| | | 0 | 3 | | |
| 2 | 2 | 8 | 0 | 3 | 0 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 6 | 6 | | |
| | | 1 | 4 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 3 | | |
| 2 | 2 | 8 | 0 | 3 | 0 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 6 | 6 | | |
| | | 1 | 4 | 3 | |
STEP 9: DIVIDE 143 : 22 = 6 with a remainder of 11
|
| | | 0 | 3 | 6 | |
| 2 | 2 | 8 | 0 | 3 | 0 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 6 | 6 | | |
| | | 1 | 4 | 3 | |
STEP 10: MULTIPLY 6 · 22 = 132
|
| | | 0 | 3 | 6 | |
| 2 | 2 | 8 | 0 | 3 | 0 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 6 | 6 | | |
| | | 1 | 4 | 3 | |
| | | 1 | 3 | 2 | |
STEP 11: SUBTRACT 143 - 132 = 11
|
| | | 0 | 3 | 6 | |
| 2 | 2 | 8 | 0 | 3 | 0 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 6 | 6 | | |
| | | 1 | 4 | 3 | |
| | – | 1 | 3 | 2 | |
| | | | 1 | 1 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 3 | 6 | |
| 2 | 2 | 8 | 0 | 3 | 0 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 6 | 6 | | |
| | | 1 | 4 | 3 | |
| | – | 1 | 3 | 2 | |
| | | | 1 | 1 | 0 |
STEP 13: DIVIDE 110 : 22 = 5 with a remainder of 0
|
| | | 0 | 3 | 6 | 5 |
| 2 | 2 | 8 | 0 | 3 | 0 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 6 | 6 | | |
| | | 1 | 4 | 3 | |
| | – | 1 | 3 | 2 | |
| | | | 1 | 1 | 0 |
STEP 14: MULTIPLY 5 · 22 = 110
|
| | | 0 | 3 | 6 | 5 |
| 2 | 2 | 8 | 0 | 3 | 0 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 6 | 6 | | |
| | | 1 | 4 | 3 | |
| | – | 1 | 3 | 2 | |
| | | | 1 | 1 | 0 |
| | | | 1 | 1 | 0 |
STEP 15: SUBTRACT 110 - 110 = 0
|
| | | 0 | 3 | 6 | 5 |
| 2 | 2 | 8 | 0 | 3 | 0 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 6 | 6 | | |
| | | 1 | 4 | 3 | |
| | – | 1 | 3 | 2 | |
| | | | 1 | 1 | 0 |
| | | – | 1 | 1 | 0 |
| | | | | | 0 |
STEP 15: SUBTRACT 110 - 110 = 0
|
| | | 0 | 3 | 6 | 5 |
| 2 | 2 | 8 | 0 | 3 | 0 |
| | – | 0 | | | |
| | | 8 | 0 | | |
| | – | 6 | 6 | | |
| | | 1 | 4 | 3 | |
| | – | 1 | 3 | 2 | |
| | | | 1 | 1 | 0 |
| | | – | 1 | 1 | 0 |
| | | | | | 0 |
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