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Question
What is the quotient and remainder when $ 2638 $ is divided by $ 28 $ ?
Answer
The quotient is 94 and the remainder is 6.
Explanation
Division Table
|
| | 0 | 0 | 9 | 4 |
2 | 8 | 2 | 6 | 3 | 8 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 3 | |
| – | 2 | 5 | 2 | |
| | | 1 | 1 | 8 |
| | – | 1 | 1 | 2 |
| | | | | 6 |
STEP 0: set up a division table
|
| | | | | |
2 | 8 | 2 | 6 | 3 | 8 |
STEP 1: DIVIDE 2 : 28 = 0 with a remainder of 2
|
| | 0 | | | |
2 | 8 | 2 | 6 | 3 | 8 |
STEP 2: MULTIPLY 0 · 28 = 0
|
| | 0 | | | |
2 | 8 | 2 | 6 | 3 | 8 |
| | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | | |
2 | 8 | 2 | 6 | 3 | 8 |
| – | 0 | | | |
| | 2 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
2 | 8 | 2 | 6 | 3 | 8 |
| – | 0 | | | |
| | 2 | 6 | | |
STEP 5: DIVIDE 26 : 28 = 0 with a remainder of 26
|
| | 0 | 0 | | |
2 | 8 | 2 | 6 | 3 | 8 |
| – | 0 | | | |
| | 2 | 6 | | |
STEP 6: MULTIPLY 0 · 28 = 0
|
| | 0 | 0 | | |
2 | 8 | 2 | 6 | 3 | 8 |
| – | 0 | | | |
| | 2 | 6 | | |
| | | 0 | | |
STEP 7: SUBTRACT 26 - 0 = 26
|
| | 0 | 0 | | |
2 | 8 | 2 | 6 | 3 | 8 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
2 | 8 | 2 | 6 | 3 | 8 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 3 | |
STEP 9: DIVIDE 263 : 28 = 9 with a remainder of 11
|
| | 0 | 0 | 9 | |
2 | 8 | 2 | 6 | 3 | 8 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 3 | |
STEP 10: MULTIPLY 9 · 28 = 252
|
| | 0 | 0 | 9 | |
2 | 8 | 2 | 6 | 3 | 8 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 3 | |
| | 2 | 5 | 2 | |
STEP 11: SUBTRACT 263 - 252 = 11
|
| | 0 | 0 | 9 | |
2 | 8 | 2 | 6 | 3 | 8 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 3 | |
| – | 2 | 5 | 2 | |
| | | 1 | 1 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 9 | |
2 | 8 | 2 | 6 | 3 | 8 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 3 | |
| – | 2 | 5 | 2 | |
| | | 1 | 1 | 8 |
STEP 13: DIVIDE 118 : 28 = 4 with a remainder of 6
|
| | 0 | 0 | 9 | 4 |
2 | 8 | 2 | 6 | 3 | 8 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 3 | |
| – | 2 | 5 | 2 | |
| | | 1 | 1 | 8 |
STEP 14: MULTIPLY 4 · 28 = 112
|
| | 0 | 0 | 9 | 4 |
2 | 8 | 2 | 6 | 3 | 8 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 3 | |
| – | 2 | 5 | 2 | |
| | | 1 | 1 | 8 |
| | | 1 | 1 | 2 |
STEP 15: SUBTRACT 118 - 112 = 6
|
| | 0 | 0 | 9 | 4 |
2 | 8 | 2 | 6 | 3 | 8 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 3 | |
| – | 2 | 5 | 2 | |
| | | 1 | 1 | 8 |
| | – | 1 | 1 | 2 |
| | | | | 6 |
STEP 15: SUBTRACT 118 - 112 = 6
|
| | 0 | 0 | 9 | 4 |
2 | 8 | 2 | 6 | 3 | 8 |
| – | 0 | | | |
| | 2 | 6 | | |
| | – | 0 | | |
| | 2 | 6 | 3 | |
| – | 2 | 5 | 2 | |
| | | 1 | 1 | 8 |
| | – | 1 | 1 | 2 |
| | | | | 6 |
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