We look at the division of 6352106 by 641 
Let's see how many times 641 fits into 6352106.

Step 1:
The number 641 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (3) of the dividend behind the 6 and repeat the process: 63 / 641

On to step 2:
If we divide 63 by 641, we get 0 and a remainder of 63.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 63 and we're left with 63.
Fetch the next digit (5) from the dividend, attach it to 63 and continue: 635 / 641

Advancing to step 3:
If we divide 635 by 641, we get 0 and a remainder of 635.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 635, we end up with 635.
Include the next digit (2) from the dividend after 635, then repeat: 6352 / 641

Moving on to step 4:
The number 641 fits into 6352 9 times, leaving a remainder of 583.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
The remainder is 583 after subtracting 5769 from 6352.
Take the next digit (1) from the dividend and append it to 583, then repeat: 5831 / 641

Let's proceed to step 5:
If we divide 5831 by 641, we get 9 and a remainder of 62.
The next digit of our result is 9. 
Result so far: 99.0
If we take 5769 away from 5831, we end up with 62.
Take the next digit (0) from the dividend and append it to 62, then repeat: 620 / 641

Let's proceed to step 6:
620 divided by 641 is 0 with a remainder of 620.
Put 0 as the next digit of the answer. 
Result so far: 990.0
Subtracting 0 from 620 leaves us with 620.
Append the next digit (6) from the dividend to 620 and continue with: 6206 / 641

Step 7:
When dividing 6206 by 641, we get 9 with a remainder of 437.
Put 9 as the next digit of the answer. 
Result so far: 9909.0
Subtracting 5769 from 6206 leaves us with 437.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4370, and continue the process.

Step 8:
641 can be fit into 4370 6 times, resulting in a remainder of 524.
Use 6 as the next digit of our solution. 
Result so far: 9909.6
Deduct 3846 from 4370 and we're left with 524.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5240, and continue the process.

Advancing to step 9:
641 can be fit into 5240 8 times, resulting in a remainder of 112.
The next digit of our result is 8. 
Result so far: 9909.68
Subtracting 5128 from 5240 leaves us with 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

On to step 10:
1120 divided by 641 is 1 with a remainder of 479.
Record the quotient 1 as the next digit in the result. 
Result so far: 9909.681
Deduct 641 from 1120 and we're left with 479.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4790, and continue the process.

Going ahead to step 11:
If we divide 4790 by 641, we get 7 and a remainder of 303.
Use 7 as the next digit of our solution. 
Result so far: 9909.6817
Subtract 4487 from 4790 to get 303.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3030, and continue the process.

Step 12:
The number 641 fits into 3030 4 times, leaving a remainder of 466.
Record the quotient 4 as the next digit in the result. 
Result so far: 9909.68174
Deduct 2564 from 3030 and we're left with 466.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4660, and continue the process.

Advancing to step 13:
4660 divided by 641 is 7 with a remainder of 173.
Put 7 as the next digit of the answer. 
Result so far: 9909.681747
Deduct 4487 from 4660 and we're left with 173.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1730, and continue the process.

Going ahead to step 14:
1730 divided by 641 is 2 with a remainder of 448.
The next digit of our result is 2. 
Result so far: 9909.6817472
Subtracting 1282 from 1730 leaves us with 448.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4480, and continue the process.

Step 15:
641 goes into 4480 6 times with a remainder of 634.
Record the quotient 6 as the next digit in the result. 
Result so far: 9909.68174726
Deduct 3846 from 4480 and we're left with 634.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6340, and continue the process.

The quotient of the division is 9909.68174726, and the remainder is 6.34e-07.