Let's divide 675 by 35
We want to figure out the number of times 675 can be divided by 35.

Step 1:
35 can be fit into 6 0 times, resulting in 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.
Include the next digit (7) from the dividend after 6, then repeat: 67 / 35

Moving on to step 2:
If we divide 67 by 35, we get 1 and a remainder of 32.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 35 from 67 to get 32.
Bring next digit (5) of the dividend behind the 32 and repeat the process: 325 / 35

Moving on to step 3:
325 divided by 35 is 9 with a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 19.0
If we take 315 away from 325, we end up 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 4:
35 goes into 100 2 times with a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 19.2
If we take 70 away from 100, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 5:
If we divide 300 by 35, we get 8 and a remainder of 20.
The next digit of our result is 8. 
Result so far: 19.28
Subtracting 280 from 300 leaves us with 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 6:
When dividing 200 by 35, we get 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 19.285
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.

Moving on to step 7:
If we divide 250 by 35, we get 7 and a remainder of 5.
Write down 7 as next digit of the result. 
Result so far: 19.2857
The remainder is 5 after subtracting 245 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 8:
If we divide 50 by 35, we get 1 and a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 19.28571
If we take 35 away from 50, 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.

Let's proceed to step 9:
The number 35 fits into 150 4 times, leaving a remainder of 10.
The next digit of our result is 4. 
Result so far: 19.285714
If we subtract 140 from 150, 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.

Going ahead to step 10:
The number 35 fits into 100 2 times, leaving a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 19.2857142
Deduct 70 from 100 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 11:
If we divide 300 by 35, we get 8 and a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 19.28571428
If we take 280 away from 300, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 19.28571428 with a remainder of 2e-08.