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Question
What is the quotient and remainder when $ 7125 $ is divided by $ 4 $ ?
Answer
The quotient is 1781 and the remainder is 1.
Explanation
|
Division Table
|
| | 1 | 7 | 8 | 1 |
| 4 | 7 | 1 | 2 | 5 |
| – | 4 | | | |
| | 3 | 1 | | |
| – | 2 | 8 | | |
| | | 3 | 2 | |
| | – | 3 | 2 | |
| | | | 5 | |
| | | – | 4 | |
| | | | 1 | |
STEP 0: set up a division table
|
| | | | | |
| 4 | 7 | 1 | 2 | 5 |
STEP 1: DIVIDE 7 : 4 = 1 with a remainder of 3
|
| | 1 | | | |
| 4 | 7 | 1 | 2 | 5 |
STEP 2: MULTIPLY 1 · 4 = 4
|
| | 1 | | | |
| 4 | 7 | 1 | 2 | 5 |
| | 4 | | | |
STEP 3: SUBTRACT 7 - 4 = 3
|
| | 1 | | | |
| 4 | 7 | 1 | 2 | 5 |
| – | 4 | | | |
| | 3 | | | |
|
STEP 4: BRING DOWN
|
| | 1 | | | |
| 4 | 7 | 1 | 2 | 5 |
| – | 4 | | | |
| | 3 | 1 | | |
STEP 5: DIVIDE 31 : 4 = 7 with a remainder of 3
|
| | 1 | 7 | | |
| 4 | 7 | 1 | 2 | 5 |
| – | 4 | | | |
| | 3 | 1 | | |
STEP 6: MULTIPLY 7 · 4 = 28
|
| | 1 | 7 | | |
| 4 | 7 | 1 | 2 | 5 |
| – | 4 | | | |
| | 3 | 1 | | |
| | 2 | 8 | | |
STEP 7: SUBTRACT 31 - 28 = 3
|
| | 1 | 7 | | |
| 4 | 7 | 1 | 2 | 5 |
| – | 4 | | | |
| | 3 | 1 | | |
| – | 2 | 8 | | |
| | | 3 | | |
|
STEP 8: BRING DOWN
|
| | 1 | 7 | | |
| 4 | 7 | 1 | 2 | 5 |
| – | 4 | | | |
| | 3 | 1 | | |
| – | 2 | 8 | | |
| | | 3 | 2 | |
STEP 9: DIVIDE 32 : 4 = 8 with a remainder of 0
|
| | 1 | 7 | 8 | |
| 4 | 7 | 1 | 2 | 5 |
| – | 4 | | | |
| | 3 | 1 | | |
| – | 2 | 8 | | |
| | | 3 | 2 | |
STEP 10: MULTIPLY 8 · 4 = 32
|
| | 1 | 7 | 8 | |
| 4 | 7 | 1 | 2 | 5 |
| – | 4 | | | |
| | 3 | 1 | | |
| – | 2 | 8 | | |
| | | 3 | 2 | |
| | | 3 | 2 | |
STEP 11: SUBTRACT 32 - 32 = 0
|
| | 1 | 7 | 8 | |
| 4 | 7 | 1 | 2 | 5 |
| – | 4 | | | |
| | 3 | 1 | | |
| – | 2 | 8 | | |
| | | 3 | 2 | |
| | – | 3 | 2 | |
| | | | 0 | |
|
STEP 12: BRING DOWN
|
| | 1 | 7 | 8 | |
| 4 | 7 | 1 | 2 | 5 |
| – | 4 | | | |
| | 3 | 1 | | |
| – | 2 | 8 | | |
| | | 3 | 2 | |
| | – | 3 | 2 | |
| | | | 5 | |
STEP 13: DIVIDE 5 : 4 = 1 with a remainder of 1
|
| | 1 | 7 | 8 | 1 |
| 4 | 7 | 1 | 2 | 5 |
| – | 4 | | | |
| | 3 | 1 | | |
| – | 2 | 8 | | |
| | | 3 | 2 | |
| | – | 3 | 2 | |
| | | | 5 | |
STEP 14: MULTIPLY 1 · 4 = 4
|
| | 1 | 7 | 8 | 1 |
| 4 | 7 | 1 | 2 | 5 |
| – | 4 | | | |
| | 3 | 1 | | |
| – | 2 | 8 | | |
| | | 3 | 2 | |
| | – | 3 | 2 | |
| | | | 5 | |
| | | | 4 | |
STEP 15: SUBTRACT 5 - 4 = 1
|
| | 1 | 7 | 8 | 1 |
| 4 | 7 | 1 | 2 | 5 |
| – | 4 | | | |
| | 3 | 1 | | |
| – | 2 | 8 | | |
| | | 3 | 2 | |
| | – | 3 | 2 | |
| | | | 5 | |
| | | – | 4 | |
| | | | 1 | |
STEP 15: SUBTRACT 5 - 4 = 1
|
| | 1 | 7 | 8 | 1 |
| 4 | 7 | 1 | 2 | 5 |
| – | 4 | | | |
| | 3 | 1 | | |
| – | 2 | 8 | | |
| | | 3 | 2 | |
| | – | 3 | 2 | |
| | | | 5 | |
| | | – | 4 | |
| | | | 1 | |
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