641569 ÷ 90 
We want to figure out the number of times 641569 can be divided by 90.

On to step 1:
6 divided by 90 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 90

Step 2:
If we divide 64 by 90, we get 0 and a remainder of 64.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 64 and we're left with 64.
Take the next digit (1) from the dividend and append it to 64, then repeat: 641 / 90

Advancing to step 3:
90 can be fit into 641 7 times, resulting in a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 630 from 641 and we're left with 11.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 90

Advancing to step 4:
If we divide 115 by 90, we get 1 and a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 71.0
Subtracting 90 from 115 leaves us with 25.
Append the next digit (6) from the dividend to 25 and continue with: 256 / 90

Moving on to step 5:
90 goes into 256 2 times with a remainder of 76.
The next digit of our result is 2. 
Result so far: 712.0
Subtracting 180 from 256 leaves us with 76.
Take the next digit (9) from the dividend and append it to 76, then repeat: 769 / 90

On to step 6:
When dividing 769 by 90, we get 8 with a remainder of 49.
Put 8 as the next digit of the answer. 
Result so far: 7128.0
If we subtract 720 from 769, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Step 7:
The number 90 fits into 490 5 times, leaving a remainder of 40.
Use 5 as the next digit of our solution. 
Result so far: 7128.5
Subtract 450 from 490 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
When dividing 400 by 90, we get 4 with a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 7128.54
If we subtract 360 from 400, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
When dividing 400 by 90, we get 4 with a remainder of 40.
Write down 4 as next digit of the result. 
Result so far: 7128.544
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Our division results in 7128.544 with a remaining 0.004.