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Question
What is the quotient and remainder when $ 340 $ is divided by $ 8 $ ?
Answer
The quotient is 42 and the remainder is 4.
Explanation
|
Division Table
|
| | 0 | 4 | 2 |
| 8 | 3 | 4 | 0 |
| – | 0 | | |
| | 3 | 4 | |
| – | 3 | 2 | |
| | | 2 | 0 |
| | – | 1 | 6 |
| | | | 4 |
STEP 0: set up a division table
|
| | | | |
| 8 | 3 | 4 | 0 |
STEP 1: DIVIDE 3 : 8 = 0 with a remainder of 3
|
| | 0 | | |
| 8 | 3 | 4 | 0 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| | 0 | | |
| 8 | 3 | 4 | 0 |
| | 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | 0 | | |
| 8 | 3 | 4 | 0 |
| – | 0 | | |
| | 3 | | |
|
STEP 4: BRING DOWN
|
| | 0 | | |
| 8 | 3 | 4 | 0 |
| – | 0 | | |
| | 3 | 4 | |
STEP 5: DIVIDE 34 : 8 = 4 with a remainder of 2
|
| | 0 | 4 | |
| 8 | 3 | 4 | 0 |
| – | 0 | | |
| | 3 | 4 | |
STEP 6: MULTIPLY 4 · 8 = 32
|
| | 0 | 4 | |
| 8 | 3 | 4 | 0 |
| – | 0 | | |
| | 3 | 4 | |
| | 3 | 2 | |
STEP 7: SUBTRACT 34 - 32 = 2
|
| | 0 | 4 | |
| 8 | 3 | 4 | 0 |
| – | 0 | | |
| | 3 | 4 | |
| – | 3 | 2 | |
| | | 2 | |
|
STEP 8: BRING DOWN
|
| | 0 | 4 | |
| 8 | 3 | 4 | 0 |
| – | 0 | | |
| | 3 | 4 | |
| – | 3 | 2 | |
| | | 2 | 0 |
STEP 9: DIVIDE 20 : 8 = 2 with a remainder of 4
|
| | 0 | 4 | 2 |
| 8 | 3 | 4 | 0 |
| – | 0 | | |
| | 3 | 4 | |
| – | 3 | 2 | |
| | | 2 | 0 |
STEP 10: MULTIPLY 2 · 8 = 16
|
| | 0 | 4 | 2 |
| 8 | 3 | 4 | 0 |
| – | 0 | | |
| | 3 | 4 | |
| – | 3 | 2 | |
| | | 2 | 0 |
| | | 1 | 6 |
STEP 11: SUBTRACT 20 - 16 = 4
|
| | 0 | 4 | 2 |
| 8 | 3 | 4 | 0 |
| – | 0 | | |
| | 3 | 4 | |
| – | 3 | 2 | |
| | | 2 | 0 |
| | – | 1 | 6 |
| | | | 4 |
STEP 11: SUBTRACT 20 - 16 = 4
|
| | 0 | 4 | 2 |
| 8 | 3 | 4 | 0 |
| – | 0 | | |
| | 3 | 4 | |
| – | 3 | 2 | |
| | | 2 | 0 |
| | – | 1 | 6 |
| | | | 4 |
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