We look at the division of 645546 by 82 
Our goal is to divide 645546 by 82.

Moving on to step 1:
82 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 82

Going ahead to step 2:
If we divide 64 by 82, we get 0 and a remainder of 64.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Append the next digit (5) from the dividend to 64 and continue with: 645 / 82

Going ahead to step 3:
If we divide 645 by 82, we get 7 and a remainder of 71.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we subtract 574 from 645, we get 71.
Append the next digit (5) from the dividend to 71 and continue with: 715 / 82

Advancing to step 4:
If we divide 715 by 82, we get 8 and a remainder of 59.
Record the quotient 8 as the next digit in the result. 
Result so far: 78.0
Subtracting 656 from 715 leaves us with 59.
Fetch the next digit (4) from the dividend, attach it to 59 and continue: 594 / 82

Let's proceed to step 5:
When dividing 594 by 82, we get 7 with a remainder of 20.
Record the quotient 7 as the next digit in the result. 
Result so far: 787.0
If we subtract 574 from 594, we get 20.
Fetch the next digit (6) from the dividend, attach it to 20 and continue: 206 / 82

Advancing to step 6:
If we divide 206 by 82, we get 2 and a remainder of 42.
Put 2 as the next digit of the answer. 
Result so far: 7872.0
The remainder is 42 after subtracting 164 from 206.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 7:
If we divide 420 by 82, we get 5 and a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 7872.5
If we subtract 410 from 420, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
When dividing 100 by 82, we get 1 with a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 7872.51
The remainder is 18 after subtracting 82 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 9:
The number 82 fits into 180 2 times, leaving a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 7872.512
The remainder is 16 after subtracting 164 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 10:
The number 82 fits into 160 1 times, leaving a remainder of 78.
Write down 1 as next digit of the result. 
Result so far: 7872.5121
Subtracting 82 from 160 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 11:
When dividing 780 by 82, we get 9 with a remainder of 42.
The number 9 becomes the next digit in our result. 
Result so far: 7872.51219
Subtract 738 from 780 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 12:
If we divide 420 by 82, we get 5 and a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 7872.512195
Subtracting 410 from 420 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 13:
The number 82 fits into 100 1 times, leaving a remainder of 18.
Write down 1 as next digit of the result. 
Result so far: 7872.5121951
Subtracting 82 from 100 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 14:
180 divided by 82 is 2 with a remainder of 16.
Write down 2 as next digit of the result. 
Result so far: 7872.51219512
Subtract 164 from 180 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 7872.51219512, and the remainder is 1.6e-08.