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What is the quotient and remainder when $ 8890 $ is divided by $ 40 $ ?
Answer
The quotient is 222 and the remainder is 10.
Explanation
Division Table
|
| | 0 | 2 | 2 | 2 |
4 | 0 | 8 | 8 | 9 | 0 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 8 | 0 | | |
| | | 8 | 9 | |
| | – | 8 | 0 | |
| | | | 9 | 0 |
| | | – | 8 | 0 |
| | | | 1 | 0 |
STEP 0: set up a division table
|
| | | | | |
4 | 0 | 8 | 8 | 9 | 0 |
STEP 1: DIVIDE 8 : 40 = 0 with a remainder of 8
|
| | 0 | | | |
4 | 0 | 8 | 8 | 9 | 0 |
STEP 2: MULTIPLY 0 · 40 = 0
|
| | 0 | | | |
4 | 0 | 8 | 8 | 9 | 0 |
| | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | 0 | | | |
4 | 0 | 8 | 8 | 9 | 0 |
| – | 0 | | | |
| | 8 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
4 | 0 | 8 | 8 | 9 | 0 |
| – | 0 | | | |
| | 8 | 8 | | |
STEP 5: DIVIDE 88 : 40 = 2 with a remainder of 8
|
| | 0 | 2 | | |
4 | 0 | 8 | 8 | 9 | 0 |
| – | 0 | | | |
| | 8 | 8 | | |
STEP 6: MULTIPLY 2 · 40 = 80
|
| | 0 | 2 | | |
4 | 0 | 8 | 8 | 9 | 0 |
| – | 0 | | | |
| | 8 | 8 | | |
| | 8 | 0 | | |
STEP 7: SUBTRACT 88 - 80 = 8
|
| | 0 | 2 | | |
4 | 0 | 8 | 8 | 9 | 0 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 8 | 0 | | |
| | | 8 | | |
STEP 8: BRING DOWN
|
| | 0 | 2 | | |
4 | 0 | 8 | 8 | 9 | 0 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 8 | 0 | | |
| | | 8 | 9 | |
STEP 9: DIVIDE 89 : 40 = 2 with a remainder of 9
|
| | 0 | 2 | 2 | |
4 | 0 | 8 | 8 | 9 | 0 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 8 | 0 | | |
| | | 8 | 9 | |
STEP 10: MULTIPLY 2 · 40 = 80
|
| | 0 | 2 | 2 | |
4 | 0 | 8 | 8 | 9 | 0 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 8 | 0 | | |
| | | 8 | 9 | |
| | | 8 | 0 | |
STEP 11: SUBTRACT 89 - 80 = 9
|
| | 0 | 2 | 2 | |
4 | 0 | 8 | 8 | 9 | 0 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 8 | 0 | | |
| | | 8 | 9 | |
| | – | 8 | 0 | |
| | | | 9 | |
STEP 12: BRING DOWN
|
| | 0 | 2 | 2 | |
4 | 0 | 8 | 8 | 9 | 0 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 8 | 0 | | |
| | | 8 | 9 | |
| | – | 8 | 0 | |
| | | | 9 | 0 |
STEP 13: DIVIDE 90 : 40 = 2 with a remainder of 10
|
| | 0 | 2 | 2 | 2 |
4 | 0 | 8 | 8 | 9 | 0 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 8 | 0 | | |
| | | 8 | 9 | |
| | – | 8 | 0 | |
| | | | 9 | 0 |
STEP 14: MULTIPLY 2 · 40 = 80
|
| | 0 | 2 | 2 | 2 |
4 | 0 | 8 | 8 | 9 | 0 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 8 | 0 | | |
| | | 8 | 9 | |
| | – | 8 | 0 | |
| | | | 9 | 0 |
| | | | 8 | 0 |
STEP 15: SUBTRACT 90 - 80 = 10
|
| | 0 | 2 | 2 | 2 |
4 | 0 | 8 | 8 | 9 | 0 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 8 | 0 | | |
| | | 8 | 9 | |
| | – | 8 | 0 | |
| | | | 9 | 0 |
| | | – | 8 | 0 |
| | | | 1 | 0 |
STEP 15: SUBTRACT 90 - 80 = 10
|
| | 0 | 2 | 2 | 2 |
4 | 0 | 8 | 8 | 9 | 0 |
| – | 0 | | | |
| | 8 | 8 | | |
| – | 8 | 0 | | |
| | | 8 | 9 | |
| | – | 8 | 0 | |
| | | | 9 | 0 |
| | | – | 8 | 0 |
| | | | 1 | 0 |
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