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What is the quotient and remainder when $ 9354 $ is divided by $ 44 $ ?
Answer
The quotient is 212 and the remainder is 26.
Explanation
Division Table
|
| | 0 | 2 | 1 | 2 |
4 | 4 | 9 | 3 | 5 | 4 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 8 | 8 | | |
| | | 5 | 5 | |
| | – | 4 | 4 | |
| | | 1 | 1 | 4 |
| | | – | 8 | 8 |
| | | | 2 | 6 |
STEP 0: set up a division table
|
| | | | | |
4 | 4 | 9 | 3 | 5 | 4 |
STEP 1: DIVIDE 9 : 44 = 0 with a remainder of 9
|
| | 0 | | | |
4 | 4 | 9 | 3 | 5 | 4 |
STEP 2: MULTIPLY 0 · 44 = 0
|
| | 0 | | | |
4 | 4 | 9 | 3 | 5 | 4 |
| | 0 | | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | 0 | | | |
4 | 4 | 9 | 3 | 5 | 4 |
| – | 0 | | | |
| | 9 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
4 | 4 | 9 | 3 | 5 | 4 |
| – | 0 | | | |
| | 9 | 3 | | |
STEP 5: DIVIDE 93 : 44 = 2 with a remainder of 5
|
| | 0 | 2 | | |
4 | 4 | 9 | 3 | 5 | 4 |
| – | 0 | | | |
| | 9 | 3 | | |
STEP 6: MULTIPLY 2 · 44 = 88
|
| | 0 | 2 | | |
4 | 4 | 9 | 3 | 5 | 4 |
| – | 0 | | | |
| | 9 | 3 | | |
| | 8 | 8 | | |
STEP 7: SUBTRACT 93 - 88 = 5
|
| | 0 | 2 | | |
4 | 4 | 9 | 3 | 5 | 4 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 8 | 8 | | |
| | | 5 | | |
STEP 8: BRING DOWN
|
| | 0 | 2 | | |
4 | 4 | 9 | 3 | 5 | 4 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 8 | 8 | | |
| | | 5 | 5 | |
STEP 9: DIVIDE 55 : 44 = 1 with a remainder of 11
|
| | 0 | 2 | 1 | |
4 | 4 | 9 | 3 | 5 | 4 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 8 | 8 | | |
| | | 5 | 5 | |
STEP 10: MULTIPLY 1 · 44 = 44
|
| | 0 | 2 | 1 | |
4 | 4 | 9 | 3 | 5 | 4 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 8 | 8 | | |
| | | 5 | 5 | |
| | | 4 | 4 | |
STEP 11: SUBTRACT 55 - 44 = 11
|
| | 0 | 2 | 1 | |
4 | 4 | 9 | 3 | 5 | 4 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 8 | 8 | | |
| | | 5 | 5 | |
| | – | 4 | 4 | |
| | | 1 | 1 | |
STEP 12: BRING DOWN
|
| | 0 | 2 | 1 | |
4 | 4 | 9 | 3 | 5 | 4 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 8 | 8 | | |
| | | 5 | 5 | |
| | – | 4 | 4 | |
| | | 1 | 1 | 4 |
STEP 13: DIVIDE 114 : 44 = 2 with a remainder of 26
|
| | 0 | 2 | 1 | 2 |
4 | 4 | 9 | 3 | 5 | 4 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 8 | 8 | | |
| | | 5 | 5 | |
| | – | 4 | 4 | |
| | | 1 | 1 | 4 |
STEP 14: MULTIPLY 2 · 44 = 88
|
| | 0 | 2 | 1 | 2 |
4 | 4 | 9 | 3 | 5 | 4 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 8 | 8 | | |
| | | 5 | 5 | |
| | – | 4 | 4 | |
| | | 1 | 1 | 4 |
| | | | 8 | 8 |
STEP 15: SUBTRACT 114 - 88 = 26
|
| | 0 | 2 | 1 | 2 |
4 | 4 | 9 | 3 | 5 | 4 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 8 | 8 | | |
| | | 5 | 5 | |
| | – | 4 | 4 | |
| | | 1 | 1 | 4 |
| | | – | 8 | 8 |
| | | | 2 | 6 |
STEP 15: SUBTRACT 114 - 88 = 26
|
| | 0 | 2 | 1 | 2 |
4 | 4 | 9 | 3 | 5 | 4 |
| – | 0 | | | |
| | 9 | 3 | | |
| – | 8 | 8 | | |
| | | 5 | 5 | |
| | – | 4 | 4 | |
| | | 1 | 1 | 4 |
| | | – | 8 | 8 |
| | | | 2 | 6 |
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