We look at the division of 644341 by 90 
We're looking to find how many times 90 goes into 644341.

Step 1:
90 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 90

Moving on to step 2:
If we divide 64 by 90, we get 0 and a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 64 after subtracting 0 from 64.
Append the next digit (4) from the dividend to 64 and continue with: 644 / 90

Moving on to step 3:
90 goes into 644 7 times with a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 14 after subtracting 630 from 644.
Include the next digit (3) from the dividend after 14, then repeat: 143 / 90

Going ahead to step 4:
When dividing 143 by 90, we get 1 with a remainder of 53.
Use 1 as the next digit of our solution. 
Result so far: 71.0
The remainder is 53 after subtracting 90 from 143.
Include the next digit (4) from the dividend after 53, then repeat: 534 / 90

Moving on to step 5:
When dividing 534 by 90, we get 5 with a remainder of 84.
Write down 5 as next digit of the result. 
Result so far: 715.0
Deduct 450 from 534 and we're left with 84.
Grab the next digit (1) from the dividend, add it to 84, then carry on: 841 / 90

Moving on to step 6:
When dividing 841 by 90, we get 9 with a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 7159.0
If we subtract 810 from 841, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 7:
When dividing 310 by 90, we get 3 with a remainder of 40.
The number 3 becomes the next digit in our result. 
Result so far: 7159.3
If we subtract 270 from 310, 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.

On to step 8:
90 can be fit into 400 4 times, resulting in a remainder of 40.
The next digit of our result is 4. 
Result so far: 7159.34
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.

Advancing to step 9:
400 divided by 90 is 4 with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 7159.344
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 7159.344 with a remaining 0.004.