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Question
What is the quotient and remainder when $ 1872 $ is divided by $ 8 $ ?
Answer
The quotient is 234 and the remainder is 0.
Explanation
|
Division Table
|
| | 0 | 2 | 3 | 4 |
| 8 | 1 | 8 | 7 | 2 |
| – | 0 | | | |
| | 1 | 8 | | |
| – | 1 | 6 | | |
| | | 2 | 7 | |
| | – | 2 | 4 | |
| | | | 3 | 2 |
| | | – | 3 | 2 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
| 8 | 1 | 8 | 7 | 2 |
STEP 1: DIVIDE 1 : 8 = 0 with a remainder of 1
|
| | 0 | | | |
| 8 | 1 | 8 | 7 | 2 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| | 0 | | | |
| 8 | 1 | 8 | 7 | 2 |
| | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | | |
| 8 | 1 | 8 | 7 | 2 |
| – | 0 | | | |
| | 1 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 8 | 1 | 8 | 7 | 2 |
| – | 0 | | | |
| | 1 | 8 | | |
STEP 5: DIVIDE 18 : 8 = 2 with a remainder of 2
|
| | 0 | 2 | | |
| 8 | 1 | 8 | 7 | 2 |
| – | 0 | | | |
| | 1 | 8 | | |
STEP 6: MULTIPLY 2 · 8 = 16
|
| | 0 | 2 | | |
| 8 | 1 | 8 | 7 | 2 |
| – | 0 | | | |
| | 1 | 8 | | |
| | 1 | 6 | | |
STEP 7: SUBTRACT 18 - 16 = 2
|
| | 0 | 2 | | |
| 8 | 1 | 8 | 7 | 2 |
| – | 0 | | | |
| | 1 | 8 | | |
| – | 1 | 6 | | |
| | | 2 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 2 | | |
| 8 | 1 | 8 | 7 | 2 |
| – | 0 | | | |
| | 1 | 8 | | |
| – | 1 | 6 | | |
| | | 2 | 7 | |
STEP 9: DIVIDE 27 : 8 = 3 with a remainder of 3
|
| | 0 | 2 | 3 | |
| 8 | 1 | 8 | 7 | 2 |
| – | 0 | | | |
| | 1 | 8 | | |
| – | 1 | 6 | | |
| | | 2 | 7 | |
STEP 10: MULTIPLY 3 · 8 = 24
|
| | 0 | 2 | 3 | |
| 8 | 1 | 8 | 7 | 2 |
| – | 0 | | | |
| | 1 | 8 | | |
| – | 1 | 6 | | |
| | | 2 | 7 | |
| | | 2 | 4 | |
STEP 11: SUBTRACT 27 - 24 = 3
|
| | 0 | 2 | 3 | |
| 8 | 1 | 8 | 7 | 2 |
| – | 0 | | | |
| | 1 | 8 | | |
| – | 1 | 6 | | |
| | | 2 | 7 | |
| | – | 2 | 4 | |
| | | | 3 | |
|
STEP 12: BRING DOWN
|
| | 0 | 2 | 3 | |
| 8 | 1 | 8 | 7 | 2 |
| – | 0 | | | |
| | 1 | 8 | | |
| – | 1 | 6 | | |
| | | 2 | 7 | |
| | – | 2 | 4 | |
| | | | 3 | 2 |
STEP 13: DIVIDE 32 : 8 = 4 with a remainder of 0
|
| | 0 | 2 | 3 | 4 |
| 8 | 1 | 8 | 7 | 2 |
| – | 0 | | | |
| | 1 | 8 | | |
| – | 1 | 6 | | |
| | | 2 | 7 | |
| | – | 2 | 4 | |
| | | | 3 | 2 |
STEP 14: MULTIPLY 4 · 8 = 32
|
| | 0 | 2 | 3 | 4 |
| 8 | 1 | 8 | 7 | 2 |
| – | 0 | | | |
| | 1 | 8 | | |
| – | 1 | 6 | | |
| | | 2 | 7 | |
| | – | 2 | 4 | |
| | | | 3 | 2 |
| | | | 3 | 2 |
STEP 15: SUBTRACT 32 - 32 = 0
|
| | 0 | 2 | 3 | 4 |
| 8 | 1 | 8 | 7 | 2 |
| – | 0 | | | |
| | 1 | 8 | | |
| – | 1 | 6 | | |
| | | 2 | 7 | |
| | – | 2 | 4 | |
| | | | 3 | 2 |
| | | – | 3 | 2 |
| | | | | 0 |
STEP 15: SUBTRACT 32 - 32 = 0
|
| | 0 | 2 | 3 | 4 |
| 8 | 1 | 8 | 7 | 2 |
| – | 0 | | | |
| | 1 | 8 | | |
| – | 1 | 6 | | |
| | | 2 | 7 | |
| | – | 2 | 4 | |
| | | | 3 | 2 |
| | | – | 3 | 2 |
| | | | | 0 |
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