We look at the division of 61109582 by 643 
Let's see how many times 643 fits into 61109582.

Moving on to step 1:
643 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 643

Advancing to step 2:
61 divided by 643 is 0 with a remainder of 61.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 61 to get 61.
Fetch the next digit (1) from the dividend, attach it to 61 and continue: 611 / 643

Advancing to step 3:
611 divided by 643 is 0 with a remainder of 611.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 611 and we're left with 611.
Include the next digit (0) from the dividend after 611, then repeat: 6110 / 643

Let's proceed to step 4:
The number 643 fits into 6110 9 times, leaving a remainder of 323.
Write down 9 as next digit of the result. 
Result so far: 9.0
The remainder is 323 after subtracting 5787 from 6110.
Bring next digit (9) of the dividend behind the 323 and repeat the process: 3239 / 643

Advancing to step 5:
643 goes into 3239 5 times with a remainder of 24.
Use 5 as the next digit of our solution. 
Result so far: 95.0
Subtracting 3215 from 3239 leaves us with 24.
Fetch the next digit (5) from the dividend, attach it to 24 and continue: 245 / 643

Step 6:
When dividing 245 by 643, we get 0 with a remainder of 245.
The number 0 becomes the next digit in our result. 
Result so far: 950.0
Subtracting 0 from 245 leaves us with 245.
Bring next digit (8) of the dividend behind the 245 and repeat the process: 2458 / 643

Moving on to step 7:
2458 divided by 643 is 3 with a remainder of 529.
Record the quotient 3 as the next digit in the result. 
Result so far: 9503.0
If we take 1929 away from 2458, we end up with 529.
Grab the next digit (2) from the dividend, add it to 529, then carry on: 5292 / 643

Advancing to step 8:
643 goes into 5292 8 times with a remainder of 148.
Write down 8 as next digit of the result. 
Result so far: 95038.0
Subtract 5144 from 5292 to get 148.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1480, and continue the process.

Let's proceed to step 9:
The number 643 fits into 1480 2 times, leaving a remainder of 194.
Write down 2 as next digit of the result. 
Result so far: 95038.2
If we take 1286 away from 1480, we end up with 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

Going ahead to step 10:
The number 643 fits into 1940 3 times, leaving a remainder of 11.
The next digit of our result is 3. 
Result so far: 95038.23
The remainder is 11 after subtracting 1929 from 1940.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 11:
110 divided by 643 is 0 with a remainder of 110.
The number 0 becomes the next digit in our result. 
Result so far: 95038.23
Deduct 0 from 110 and we're left with 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

Advancing to step 12:
If we divide 1100 by 643, we get 1 and a remainder of 457.
The next digit of our result is 1. 
Result so far: 95038.2301
Subtracting 643 from 1100 leaves us with 457.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4570, and continue the process.

Moving on to step 13:
4570 divided by 643 is 7 with a remainder of 69.
The next digit of our result is 7. 
Result so far: 95038.23017
If we take 4501 away from 4570, we end up with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 14:
When dividing 690 by 643, we get 1 with a remainder of 47.
The next digit of our result is 1. 
Result so far: 95038.230171
If we take 643 away from 690, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 15:
643 can be fit into 470 0 times, resulting in a remainder of 470.
The number 0 becomes the next digit in our result. 
Result so far: 95038.230171
If we take 0 away from 470, we end up with 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4700, and continue the process.

On to step 16:
4700 divided by 643 is 7 with a remainder of 199.
Use 7 as the next digit of our solution. 
Result so far: 95038.23017107
Subtract 4501 from 4700 to get 199.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1990, and continue the process.

The final result is 95038.23017107 with a remainder of 1.99e-07.