We look at the division of 634657 by 69 
Our goal is to divide 634657 by 69.

Step 1:
If we divide 6 by 69, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 69

Advancing to step 2:
When dividing 63 by 69, we get 0 with a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 63, we end up with 63.
Bring next digit (4) of the dividend behind the 63 and repeat the process: 634 / 69

Step 3:
634 divided by 69 is 9 with a remainder of 13.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 13 after subtracting 621 from 634.
Fetch the next digit (6) from the dividend, attach it to 13 and continue: 136 / 69

Advancing to step 4:
The number 69 fits into 136 1 times, leaving a remainder of 67.
Use 1 as the next digit of our solution. 
Result so far: 91.0
If we take 69 away from 136, we end up with 67.
Fetch the next digit (5) from the dividend, attach it to 67 and continue: 675 / 69

Advancing to step 5:
69 can be fit into 675 9 times, resulting in a remainder of 54.
The number 9 becomes the next digit in our result. 
Result so far: 919.0
If we subtract 621 from 675, we get 54.
Include the next digit (7) from the dividend after 54, then repeat: 547 / 69

Step 6:
69 can be fit into 547 7 times, resulting in a remainder of 64.
The next digit of our result is 7. 
Result so far: 9197.0
Subtract 483 from 547 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 7:
If we divide 640 by 69, we get 9 and a remainder of 19.
Record the quotient 9 as the next digit in the result. 
Result so far: 9197.9
Deduct 621 from 640 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 8:
190 divided by 69 is 2 with a remainder of 52.
The number 2 becomes the next digit in our result. 
Result so far: 9197.92
The remainder is 52 after subtracting 138 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 9:
The number 69 fits into 520 7 times, leaving a remainder of 37.
Record the quotient 7 as the next digit in the result. 
Result so far: 9197.927
If we subtract 483 from 520, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 10:
If we divide 370 by 69, we get 5 and a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 9197.9275
Deduct 345 from 370 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 11:
When dividing 250 by 69, we get 3 with a remainder of 43.
The number 3 becomes the next digit in our result. 
Result so far: 9197.92753
The remainder is 43 after subtracting 207 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 12:
69 goes into 430 6 times with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 9197.927536
Subtracting 414 from 430 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 13:
69 can be fit into 160 2 times, resulting in a remainder of 22.
Use 2 as the next digit of our solution. 
Result so far: 9197.9275362
If we subtract 138 from 160, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 14:
220 divided by 69 is 3 with a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 9197.92753623
If we subtract 207 from 220, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Our division results in 9197.92753623 with a remaining 1.3e-08.