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What is the quotient and remainder when $ 2210 $ is divided by $ 65 $ ?
Answer
The quotient is 34 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 0 | 3 | 4 |
6 | 5 | 2 | 2 | 1 | 0 |
| – | 0 | | | |
| | 2 | 2 | | |
| | – | 0 | | |
| | 2 | 2 | 1 | |
| – | 1 | 9 | 5 | |
| | | 2 | 6 | 0 |
| | – | 2 | 6 | 0 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
6 | 5 | 2 | 2 | 1 | 0 |
STEP 1: DIVIDE 2 : 65 = 0 with a remainder of 2
|
| | 0 | | | |
6 | 5 | 2 | 2 | 1 | 0 |
STEP 2: MULTIPLY 0 · 65 = 0
|
| | 0 | | | |
6 | 5 | 2 | 2 | 1 | 0 |
| | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | | |
6 | 5 | 2 | 2 | 1 | 0 |
| – | 0 | | | |
| | 2 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
6 | 5 | 2 | 2 | 1 | 0 |
| – | 0 | | | |
| | 2 | 2 | | |
STEP 5: DIVIDE 22 : 65 = 0 with a remainder of 22
|
| | 0 | 0 | | |
6 | 5 | 2 | 2 | 1 | 0 |
| – | 0 | | | |
| | 2 | 2 | | |
STEP 6: MULTIPLY 0 · 65 = 0
|
| | 0 | 0 | | |
6 | 5 | 2 | 2 | 1 | 0 |
| – | 0 | | | |
| | 2 | 2 | | |
| | | 0 | | |
STEP 7: SUBTRACT 22 - 0 = 22
|
| | 0 | 0 | | |
6 | 5 | 2 | 2 | 1 | 0 |
| – | 0 | | | |
| | 2 | 2 | | |
| | – | 0 | | |
| | 2 | 2 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
6 | 5 | 2 | 2 | 1 | 0 |
| – | 0 | | | |
| | 2 | 2 | | |
| | – | 0 | | |
| | 2 | 2 | 1 | |
STEP 9: DIVIDE 221 : 65 = 3 with a remainder of 26
|
| | 0 | 0 | 3 | |
6 | 5 | 2 | 2 | 1 | 0 |
| – | 0 | | | |
| | 2 | 2 | | |
| | – | 0 | | |
| | 2 | 2 | 1 | |
STEP 10: MULTIPLY 3 · 65 = 195
|
| | 0 | 0 | 3 | |
6 | 5 | 2 | 2 | 1 | 0 |
| – | 0 | | | |
| | 2 | 2 | | |
| | – | 0 | | |
| | 2 | 2 | 1 | |
| | 1 | 9 | 5 | |
STEP 11: SUBTRACT 221 - 195 = 26
|
| | 0 | 0 | 3 | |
6 | 5 | 2 | 2 | 1 | 0 |
| – | 0 | | | |
| | 2 | 2 | | |
| | – | 0 | | |
| | 2 | 2 | 1 | |
| – | 1 | 9 | 5 | |
| | | 2 | 6 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 3 | |
6 | 5 | 2 | 2 | 1 | 0 |
| – | 0 | | | |
| | 2 | 2 | | |
| | – | 0 | | |
| | 2 | 2 | 1 | |
| – | 1 | 9 | 5 | |
| | | 2 | 6 | 0 |
STEP 13: DIVIDE 260 : 65 = 4 with a remainder of 0
|
| | 0 | 0 | 3 | 4 |
6 | 5 | 2 | 2 | 1 | 0 |
| – | 0 | | | |
| | 2 | 2 | | |
| | – | 0 | | |
| | 2 | 2 | 1 | |
| – | 1 | 9 | 5 | |
| | | 2 | 6 | 0 |
STEP 14: MULTIPLY 4 · 65 = 260
|
| | 0 | 0 | 3 | 4 |
6 | 5 | 2 | 2 | 1 | 0 |
| – | 0 | | | |
| | 2 | 2 | | |
| | – | 0 | | |
| | 2 | 2 | 1 | |
| – | 1 | 9 | 5 | |
| | | 2 | 6 | 0 |
| | | 2 | 6 | 0 |
STEP 15: SUBTRACT 260 - 260 = 0
|
| | 0 | 0 | 3 | 4 |
6 | 5 | 2 | 2 | 1 | 0 |
| – | 0 | | | |
| | 2 | 2 | | |
| | – | 0 | | |
| | 2 | 2 | 1 | |
| – | 1 | 9 | 5 | |
| | | 2 | 6 | 0 |
| | – | 2 | 6 | 0 |
| | | | | 0 |
STEP 15: SUBTRACT 260 - 260 = 0
|
| | 0 | 0 | 3 | 4 |
6 | 5 | 2 | 2 | 1 | 0 |
| – | 0 | | | |
| | 2 | 2 | | |
| | – | 0 | | |
| | 2 | 2 | 1 | |
| – | 1 | 9 | 5 | |
| | | 2 | 6 | 0 |
| | – | 2 | 6 | 0 |
| | | | | 0 |
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