We're dividing 641609 by 29 
We're looking to find how many times 29 goes into 641609.

Let's proceed to step 1:
If we divide 6 by 29, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 29

Advancing to step 2:
If we divide 64 by 29, we get 2 and a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we subtract 58 from 64, we get 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 29

Advancing to step 3:
If we divide 61 by 29, we get 2 and a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 22.0
Subtract 58 from 61 to get 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 29

Advancing to step 4:
29 can be fit into 36 1 times, resulting in a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 221.0
Deduct 29 from 36 and we're left with 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 29

Advancing to step 5:
29 goes into 70 2 times with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 2212.0
If we subtract 58 from 70, we get 12.
Fetch the next digit (9) from the dividend, attach it to 12 and continue: 129 / 29

Moving on to step 6:
When dividing 129 by 29, we get 4 with a remainder of 13.
Use 4 as the next digit of our solution. 
Result so far: 22124.0
Subtracting 116 from 129 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
When dividing 130 by 29, we get 4 with a remainder of 14.
The next digit of our result is 4. 
Result so far: 22124.4
If we subtract 116 from 130, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
140 divided by 29 is 4 with a remainder of 24.
The next digit of our result is 4. 
Result so far: 22124.44
Deduct 116 from 140 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The quotient of the division is 22124.44, and the remainder is 0.024.