We look at the division of 668596 by 35 
We want to divide 668596 by 35.

Let's proceed to step 1:
35 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 35

Moving on to step 2:
If we divide 66 by 35, we get 1 and a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 35 from 66 leaves us with 31.
Bring next digit (8) of the dividend behind the 31 and repeat the process: 318 / 35

Moving on to step 3:
The number 35 fits into 318 9 times, leaving a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 19.0
Subtract 315 from 318 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 35

Advancing to step 4:
If we divide 35 by 35, we get 1 and a remainder of 0.
The next digit of our result is 1. 
Result so far: 191.0
Subtract 35 from 35 to get 0.
Take the next digit (9) from the dividend and append it to 0, then repeat: 9 / 35

Moving on to step 5:
If we divide 9 by 35, we get 0 and a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 1910.0
Subtract 0 from 9 to get 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 35

Advancing to step 6:
When dividing 96 by 35, we get 2 with a remainder of 26.
Write down 2 as next digit of the result. 
Result so far: 19102.0
If we subtract 70 from 96, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 7:
The number 35 fits into 260 7 times, leaving a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 19102.7
If we take 245 away from 260, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
If we divide 150 by 35, we get 4 and a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 19102.74
The remainder is 10 after subtracting 140 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 9:
The number 35 fits into 100 2 times, leaving a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 19102.742
Subtract 70 from 100 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 10:
300 divided by 35 is 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 19102.7428
If we subtract 280 from 300, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 11:
If we divide 200 by 35, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 19102.74285
If we subtract 175 from 200, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 12:
The number 35 fits into 250 7 times, leaving a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 19102.742857
If we subtract 245 from 250, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 13:
The number 35 fits into 50 1 times, leaving a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 19102.7428571
Subtracting 35 from 50 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 14:
150 divided by 35 is 4 with a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 19102.74285714
The remainder is 10 after subtracting 140 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 19102.74285714 with a remainder of 1e-08.