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Question
What is the quotient and remainder when $ 1280 $ is divided by $ 25 $ ?
Answer
The quotient is 51 and the remainder is 5.
Explanation
Division Table
|
| | 0 | 0 | 5 | 1 |
2 | 5 | 1 | 2 | 8 | 0 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 8 | |
| – | 1 | 2 | 5 | |
| | | | 3 | 0 |
| | | – | 2 | 5 |
| | | | | 5 |
STEP 0: set up a division table
|
| | | | | |
2 | 5 | 1 | 2 | 8 | 0 |
STEP 1: DIVIDE 1 : 25 = 0 with a remainder of 1
|
| | 0 | | | |
2 | 5 | 1 | 2 | 8 | 0 |
STEP 2: MULTIPLY 0 · 25 = 0
|
| | 0 | | | |
2 | 5 | 1 | 2 | 8 | 0 |
| | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | | |
2 | 5 | 1 | 2 | 8 | 0 |
| – | 0 | | | |
| | 1 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
2 | 5 | 1 | 2 | 8 | 0 |
| – | 0 | | | |
| | 1 | 2 | | |
STEP 5: DIVIDE 12 : 25 = 0 with a remainder of 12
|
| | 0 | 0 | | |
2 | 5 | 1 | 2 | 8 | 0 |
| – | 0 | | | |
| | 1 | 2 | | |
STEP 6: MULTIPLY 0 · 25 = 0
|
| | 0 | 0 | | |
2 | 5 | 1 | 2 | 8 | 0 |
| – | 0 | | | |
| | 1 | 2 | | |
| | | 0 | | |
STEP 7: SUBTRACT 12 - 0 = 12
|
| | 0 | 0 | | |
2 | 5 | 1 | 2 | 8 | 0 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
2 | 5 | 1 | 2 | 8 | 0 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 8 | |
STEP 9: DIVIDE 128 : 25 = 5 with a remainder of 3
|
| | 0 | 0 | 5 | |
2 | 5 | 1 | 2 | 8 | 0 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 8 | |
STEP 10: MULTIPLY 5 · 25 = 125
|
| | 0 | 0 | 5 | |
2 | 5 | 1 | 2 | 8 | 0 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 8 | |
| | 1 | 2 | 5 | |
STEP 11: SUBTRACT 128 - 125 = 3
|
| | 0 | 0 | 5 | |
2 | 5 | 1 | 2 | 8 | 0 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 8 | |
| – | 1 | 2 | 5 | |
| | | | 3 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 5 | |
2 | 5 | 1 | 2 | 8 | 0 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 8 | |
| – | 1 | 2 | 5 | |
| | | | 3 | 0 |
STEP 13: DIVIDE 30 : 25 = 1 with a remainder of 5
|
| | 0 | 0 | 5 | 1 |
2 | 5 | 1 | 2 | 8 | 0 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 8 | |
| – | 1 | 2 | 5 | |
| | | | 3 | 0 |
STEP 14: MULTIPLY 1 · 25 = 25
|
| | 0 | 0 | 5 | 1 |
2 | 5 | 1 | 2 | 8 | 0 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 8 | |
| – | 1 | 2 | 5 | |
| | | | 3 | 0 |
| | | | 2 | 5 |
STEP 15: SUBTRACT 30 - 25 = 5
|
| | 0 | 0 | 5 | 1 |
2 | 5 | 1 | 2 | 8 | 0 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 8 | |
| – | 1 | 2 | 5 | |
| | | | 3 | 0 |
| | | – | 2 | 5 |
| | | | | 5 |
STEP 15: SUBTRACT 30 - 25 = 5
|
| | 0 | 0 | 5 | 1 |
2 | 5 | 1 | 2 | 8 | 0 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 8 | |
| – | 1 | 2 | 5 | |
| | | | 3 | 0 |
| | | – | 2 | 5 |
| | | | | 5 |
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