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Question
What is the quotient and remainder when $ 228 $ is divided by $ 42 $ ?
Answer
The quotient is 5 and the remainder is 18.
Explanation
|
Division Table
|
| | | 0 | 0 | 5 |
| 4 | 2 | 2 | 2 | 8 |
| | – | 0 | | |
| | | 2 | 2 | |
| | | – | 0 | |
| | | 2 | 2 | 8 |
| | – | 2 | 1 | 0 |
| | | | 1 | 8 |
STEP 0: set up a division table
|
| | | | | |
| 4 | 2 | 2 | 2 | 8 |
STEP 1: DIVIDE 2 : 42 = 0 with a remainder of 2
|
| | | 0 | | |
| 4 | 2 | 2 | 2 | 8 |
STEP 2: MULTIPLY 0 · 42 = 0
|
| | | 0 | | |
| 4 | 2 | 2 | 2 | 8 |
| | | 0 | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | 0 | | |
| 4 | 2 | 2 | 2 | 8 |
| | – | 0 | | |
| | | 2 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 4 | 2 | 2 | 2 | 8 |
| | – | 0 | | |
| | | 2 | 2 | |
STEP 5: DIVIDE 22 : 42 = 0 with a remainder of 22
|
| | | 0 | 0 | |
| 4 | 2 | 2 | 2 | 8 |
| | – | 0 | | |
| | | 2 | 2 | |
STEP 6: MULTIPLY 0 · 42 = 0
|
| | | 0 | 0 | |
| 4 | 2 | 2 | 2 | 8 |
| | – | 0 | | |
| | | 2 | 2 | |
| | | | 0 | |
STEP 7: SUBTRACT 22 - 0 = 22
|
| | | 0 | 0 | |
| 4 | 2 | 2 | 2 | 8 |
| | – | 0 | | |
| | | 2 | 2 | |
| | | – | 0 | |
| | | 2 | 2 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | |
| 4 | 2 | 2 | 2 | 8 |
| | – | 0 | | |
| | | 2 | 2 | |
| | | – | 0 | |
| | | 2 | 2 | 8 |
STEP 9: DIVIDE 228 : 42 = 5 with a remainder of 18
|
| | | 0 | 0 | 5 |
| 4 | 2 | 2 | 2 | 8 |
| | – | 0 | | |
| | | 2 | 2 | |
| | | – | 0 | |
| | | 2 | 2 | 8 |
STEP 10: MULTIPLY 5 · 42 = 210
|
| | | 0 | 0 | 5 |
| 4 | 2 | 2 | 2 | 8 |
| | – | 0 | | |
| | | 2 | 2 | |
| | | – | 0 | |
| | | 2 | 2 | 8 |
| | | 2 | 1 | 0 |
STEP 11: SUBTRACT 228 - 210 = 18
|
| | | 0 | 0 | 5 |
| 4 | 2 | 2 | 2 | 8 |
| | – | 0 | | |
| | | 2 | 2 | |
| | | – | 0 | |
| | | 2 | 2 | 8 |
| | – | 2 | 1 | 0 |
| | | | 1 | 8 |
STEP 11: SUBTRACT 228 - 210 = 18
|
| | | 0 | 0 | 5 |
| 4 | 2 | 2 | 2 | 8 |
| | – | 0 | | |
| | | 2 | 2 | |
| | | – | 0 | |
| | | 2 | 2 | 8 |
| | – | 2 | 1 | 0 |
| | | | 1 | 8 |
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