Let's divide 641098 by 43
Our goal is to divide 641098 by 43.

Advancing to step 1:
6 divided by 43 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 take 0 away from 6, we end up with 6.
Take the next digit (4) from the dividend and append it to 6, then repeat: 64 / 43

Moving on to step 2:
64 divided by 43 is 1 with a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 43 from 64, we get 21.
Bring next digit (1) of the dividend behind the 21 and repeat the process: 211 / 43

Let's proceed to step 3:
211 divided by 43 is 4 with a remainder of 39.
Use 4 as the next digit of our solution. 
Result so far: 14.0
If we subtract 172 from 211, we get 39.
Append the next digit (0) from the dividend to 39 and continue with: 390 / 43

Going ahead to step 4:
43 can be fit into 390 9 times, resulting in a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 149.0
If we subtract 387 from 390, we get 3.
Bring next digit (9) of the dividend behind the 3 and repeat the process: 39 / 43

Moving on to step 5:
If we divide 39 by 43, we get 0 and a remainder of 39.
Write down 0 as next digit of the result. 
Result so far: 1490.0
Subtract 0 from 39 to get 39.
Append the next digit (8) from the dividend to 39 and continue with: 398 / 43

Advancing to step 6:
43 can be fit into 398 9 times, resulting in a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 14909.0
If we subtract 387 from 398, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
110 divided by 43 is 2 with a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 14909.2
Subtracting 86 from 110 leaves us 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.

Going ahead to step 8:
When dividing 240 by 43, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 14909.25
If we subtract 215 from 240, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 9:
43 goes into 250 5 times with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 14909.255
If we subtract 215 from 250, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Our division results in 14909.255 with a remaining 0.0035.