We look at the division of 6681370 by 635 
Our goal is to divide 6681370 by 635.

Going ahead to step 1:
635 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 635

On to step 2:
66 divided by 635 is 0 with a remainder of 66.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 66 to get 66.
Bring next digit (8) of the dividend behind the 66 and repeat the process: 668 / 635

Step 3:
When dividing 668 by 635, we get 1 with a remainder of 33.
The next digit of our result is 1. 
Result so far: 1.0
If we take 635 away from 668, we end up with 33.
Include the next digit (1) from the dividend after 33, then repeat: 331 / 635

Going ahead to step 4:
331 divided by 635 is 0 with a remainder of 331.
Put 0 as the next digit of the answer. 
Result so far: 10.0
The remainder is 331 after subtracting 0 from 331.
Take the next digit (3) from the dividend and append it to 331, then repeat: 3313 / 635

Let's proceed to step 5:
3313 divided by 635 is 5 with a remainder of 138.
Write down 5 as next digit of the result. 
Result so far: 105.0
Subtract 3175 from 3313 to get 138.
Fetch the next digit (7) from the dividend, attach it to 138 and continue: 1387 / 635

Step 6:
If we divide 1387 by 635, we get 2 and a remainder of 117.
Put 2 as the next digit of the answer. 
Result so far: 1052.0
Subtracting 1270 from 1387 leaves us with 117.
Grab the next digit (0) from the dividend, add it to 117, then carry on: 1170 / 635

Step 7:
1170 divided by 635 is 1 with a remainder of 535.
Write down 1 as next digit of the result. 
Result so far: 10521.0
If we subtract 635 from 1170, we get 535.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5350, and continue the process.

Advancing to step 8:
The number 635 fits into 5350 8 times, leaving a remainder of 270.
Write down 8 as next digit of the result. 
Result so far: 10521.8
The remainder is 270 after subtracting 5080 from 5350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

On to step 9:
2700 divided by 635 is 4 with a remainder of 160.
The next digit of our result is 4. 
Result so far: 10521.84
Subtract 2540 from 2700 to get 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1600, and continue the process.

Moving on to step 10:
635 can be fit into 1600 2 times, resulting in a remainder of 330.
The number 2 becomes the next digit in our result. 
Result so far: 10521.842
Subtract 1270 from 1600 to get 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3300, and continue the process.

Let's proceed to step 11:
635 can be fit into 3300 5 times, resulting in a remainder of 125.
Put 5 as the next digit of the answer. 
Result so far: 10521.8425
The remainder is 125 after subtracting 3175 from 3300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1250, and continue the process.

Advancing to step 12:
1250 divided by 635 is 1 with a remainder of 615.
Record the quotient 1 as the next digit in the result. 
Result so far: 10521.84251
The remainder is 615 after subtracting 635 from 1250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6150, and continue the process.

Moving on to step 13:
If we divide 6150 by 635, we get 9 and a remainder of 435.
Use 9 as the next digit of our solution. 
Result so far: 10521.842519
If we subtract 5715 from 6150, we get 435.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4350, and continue the process.

On to step 14:
635 can be fit into 4350 6 times, resulting in a remainder of 540.
Write down 6 as next digit of the result. 
Result so far: 10521.8425196
Subtract 3810 from 4350 to get 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5400, and continue the process.

On to step 15:
If we divide 5400 by 635, we get 8 and a remainder of 320.
Put 8 as the next digit of the answer. 
Result so far: 10521.84251968
The remainder is 320 after subtracting 5080 from 5400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

In conclusion, the division gives 10521.84251968 with a balance of 3.2e-07.