We're dividing 651629 by 34 
We're looking to find how many times 34 goes into 651629.

Let's proceed to step 1:
34 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 34

Let's proceed to step 2:
65 divided by 34 is 1 with a remainder of 31.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 34 from 65, we get 31.
Grab the next digit (1) from the dividend, add it to 31, then carry on: 311 / 34

Step 3:
If we divide 311 by 34, we get 9 and a remainder of 5.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
If we subtract 306 from 311, we get 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 34

Step 4:
The number 34 fits into 56 1 times, leaving a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 191.0
If we subtract 34 from 56, we get 22.
Append the next digit (2) from the dividend to 22 and continue with: 222 / 34

On to step 5:
If we divide 222 by 34, we get 6 and a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 1916.0
If we take 204 away from 222, we end up with 18.
Grab the next digit (9) from the dividend, add it to 18, then carry on: 189 / 34

Advancing to step 6:
34 goes into 189 5 times with a remainder of 19.
Write down 5 as next digit of the result. 
Result so far: 19165.0
If we subtract 170 from 189, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
34 can be fit into 190 5 times, resulting in a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 19165.5
The remainder is 20 after subtracting 170 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
If we divide 200 by 34, we get 5 and a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 19165.55
The remainder is 30 after subtracting 170 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 19165.55, and the remainder is 0.03.