We're dividing 641722 by 90 
We want to divide 641722 by 90.

Advancing to step 1:
If we divide 6 by 90, we get 0 and 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.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 90

Let's proceed to step 2:
90 can be fit into 64 0 times, resulting in a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 64, we end up with 64.
Take the next digit (1) from the dividend and append it to 64, then repeat: 641 / 90

On to step 3:
90 can be fit into 641 7 times, resulting in a remainder of 11.
The next digit of our result is 7. 
Result so far: 7.0
If we subtract 630 from 641, we get 11.
Bring next digit (7) of the dividend behind the 11 and repeat the process: 117 / 90

Moving on to step 4:
90 can be fit into 117 1 times, resulting in a remainder of 27.
The number 1 becomes the next digit in our result. 
Result so far: 71.0
If we subtract 90 from 117, we get 27.
Append the next digit (2) from the dividend to 27 and continue with: 272 / 90

Advancing to step 5:
When dividing 272 by 90, we get 3 with a remainder of 2.
Use 3 as the next digit of our solution. 
Result so far: 713.0
Subtract 270 from 272 to get 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 90

Let's proceed to step 6:
90 goes into 22 0 times with a remainder of 22.
Put 0 as the next digit of the answer. 
Result so far: 7130.0
Subtract 0 from 22 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 7:
90 goes into 220 2 times with a remainder of 40.
Record the quotient 2 as the next digit in the result. 
Result so far: 7130.2
The remainder is 40 after subtracting 180 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 8:
The number 90 fits into 400 4 times, leaving a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 7130.24
Deduct 360 from 400 and we're left with 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:
400 divided by 90 is 4 with a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 7130.244
Subtracting 360 from 400 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The final result is 7130.244 with a remainder of 0.004.