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Question
What is the quotient and remainder when $ 2125 $ is divided by $ 8 $ ?
Answer
The quotient is 265 and the remainder is 5.
Explanation
|
Division Table
|
| | 0 | 2 | 6 | 5 |
| 8 | 2 | 1 | 2 | 5 |
| – | 0 | | | |
| | 2 | 1 | | |
| – | 1 | 6 | | |
| | | 5 | 2 | |
| | – | 4 | 8 | |
| | | | 4 | 5 |
| | | – | 4 | 0 |
| | | | | 5 |
STEP 0: set up a division table
|
| | | | | |
| 8 | 2 | 1 | 2 | 5 |
STEP 1: DIVIDE 2 : 8 = 0 with a remainder of 2
|
| | 0 | | | |
| 8 | 2 | 1 | 2 | 5 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| | 0 | | | |
| 8 | 2 | 1 | 2 | 5 |
| | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | | |
| 8 | 2 | 1 | 2 | 5 |
| – | 0 | | | |
| | 2 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 8 | 2 | 1 | 2 | 5 |
| – | 0 | | | |
| | 2 | 1 | | |
STEP 5: DIVIDE 21 : 8 = 2 with a remainder of 5
|
| | 0 | 2 | | |
| 8 | 2 | 1 | 2 | 5 |
| – | 0 | | | |
| | 2 | 1 | | |
STEP 6: MULTIPLY 2 · 8 = 16
|
| | 0 | 2 | | |
| 8 | 2 | 1 | 2 | 5 |
| – | 0 | | | |
| | 2 | 1 | | |
| | 1 | 6 | | |
STEP 7: SUBTRACT 21 - 16 = 5
|
| | 0 | 2 | | |
| 8 | 2 | 1 | 2 | 5 |
| – | 0 | | | |
| | 2 | 1 | | |
| – | 1 | 6 | | |
| | | 5 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 2 | | |
| 8 | 2 | 1 | 2 | 5 |
| – | 0 | | | |
| | 2 | 1 | | |
| – | 1 | 6 | | |
| | | 5 | 2 | |
STEP 9: DIVIDE 52 : 8 = 6 with a remainder of 4
|
| | 0 | 2 | 6 | |
| 8 | 2 | 1 | 2 | 5 |
| – | 0 | | | |
| | 2 | 1 | | |
| – | 1 | 6 | | |
| | | 5 | 2 | |
STEP 10: MULTIPLY 6 · 8 = 48
|
| | 0 | 2 | 6 | |
| 8 | 2 | 1 | 2 | 5 |
| – | 0 | | | |
| | 2 | 1 | | |
| – | 1 | 6 | | |
| | | 5 | 2 | |
| | | 4 | 8 | |
STEP 11: SUBTRACT 52 - 48 = 4
|
| | 0 | 2 | 6 | |
| 8 | 2 | 1 | 2 | 5 |
| – | 0 | | | |
| | 2 | 1 | | |
| – | 1 | 6 | | |
| | | 5 | 2 | |
| | – | 4 | 8 | |
| | | | 4 | |
|
STEP 12: BRING DOWN
|
| | 0 | 2 | 6 | |
| 8 | 2 | 1 | 2 | 5 |
| – | 0 | | | |
| | 2 | 1 | | |
| – | 1 | 6 | | |
| | | 5 | 2 | |
| | – | 4 | 8 | |
| | | | 4 | 5 |
STEP 13: DIVIDE 45 : 8 = 5 with a remainder of 5
|
| | 0 | 2 | 6 | 5 |
| 8 | 2 | 1 | 2 | 5 |
| – | 0 | | | |
| | 2 | 1 | | |
| – | 1 | 6 | | |
| | | 5 | 2 | |
| | – | 4 | 8 | |
| | | | 4 | 5 |
STEP 14: MULTIPLY 5 · 8 = 40
|
| | 0 | 2 | 6 | 5 |
| 8 | 2 | 1 | 2 | 5 |
| – | 0 | | | |
| | 2 | 1 | | |
| – | 1 | 6 | | |
| | | 5 | 2 | |
| | – | 4 | 8 | |
| | | | 4 | 5 |
| | | | 4 | 0 |
STEP 15: SUBTRACT 45 - 40 = 5
|
| | 0 | 2 | 6 | 5 |
| 8 | 2 | 1 | 2 | 5 |
| – | 0 | | | |
| | 2 | 1 | | |
| – | 1 | 6 | | |
| | | 5 | 2 | |
| | – | 4 | 8 | |
| | | | 4 | 5 |
| | | – | 4 | 0 |
| | | | | 5 |
STEP 15: SUBTRACT 45 - 40 = 5
|
| | 0 | 2 | 6 | 5 |
| 8 | 2 | 1 | 2 | 5 |
| – | 0 | | | |
| | 2 | 1 | | |
| – | 1 | 6 | | |
| | | 5 | 2 | |
| | – | 4 | 8 | |
| | | | 4 | 5 |
| | | – | 4 | 0 |
| | | | | 5 |
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