91744643 ÷ 643 
Our goal is to divide 91744643 by 643.

On to step 1:
The number 643 fits into 9 0 times, leaving a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 643

On to step 2:
91 divided by 643 is 0 with a remainder of 91.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 91 after subtracting 0 from 91.
Grab the next digit (7) from the dividend, add it to 91, then carry on: 917 / 643

Going ahead to step 3:
If we divide 917 by 643, we get 1 and a remainder of 274.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 643 from 917 to get 274.
Take the next digit (4) from the dividend and append it to 274, then repeat: 2744 / 643

Step 4:
643 goes into 2744 4 times with a remainder of 172.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Subtracting 2572 from 2744 leaves us with 172.
Bring next digit (4) of the dividend behind the 172 and repeat the process: 1724 / 643

On to step 5:
The number 643 fits into 1724 2 times, leaving a remainder of 438.
The next digit of our result is 2. 
Result so far: 142.0
If we take 1286 away from 1724, we end up with 438.
Bring next digit (6) of the dividend behind the 438 and repeat the process: 4386 / 643

Let's proceed to step 6:
4386 divided by 643 is 6 with a remainder of 528.
Use 6 as the next digit of our solution. 
Result so far: 1426.0
If we subtract 3858 from 4386, we get 528.
Fetch the next digit (4) from the dividend, attach it to 528 and continue: 5284 / 643

Advancing to step 7:
If we divide 5284 by 643, we get 8 and a remainder of 140.
The next digit of our result is 8. 
Result so far: 14268.0
Subtract 5144 from 5284 to get 140.
Include the next digit (3) from the dividend after 140, then repeat: 1403 / 643

Advancing to step 8:
If we divide 1403 by 643, we get 2 and a remainder of 117.
Write down 2 as next digit of the result. 
Result so far: 142682.0
Subtracting 1286 from 1403 leaves us with 117.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1170, and continue the process.

Going ahead to step 9:
The number 643 fits into 1170 1 times, leaving a remainder of 527.
Write down 1 as next digit of the result. 
Result so far: 142682.1
Subtracting 643 from 1170 leaves us with 527.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5270, and continue the process.

Moving on to step 10:
643 can be fit into 5270 8 times, resulting in a remainder of 126.
Write down 8 as next digit of the result. 
Result so far: 142682.18
The remainder is 126 after subtracting 5144 from 5270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Step 11:
643 goes into 1260 1 times with a remainder of 617.
Put 1 as the next digit of the answer. 
Result so far: 142682.181
If we take 643 away from 1260, we end up with 617.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6170, and continue the process.

Moving on to step 12:
The number 643 fits into 6170 9 times, leaving a remainder of 383.
The next digit of our result is 9. 
Result so far: 142682.1819
If we subtract 5787 from 6170, we get 383.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3830, and continue the process.

Advancing to step 13:
The number 643 fits into 3830 5 times, leaving a remainder of 615.
The number 5 becomes the next digit in our result. 
Result so far: 142682.18195
If we take 3215 away from 3830, we end up with 615.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6150, and continue the process.

On to step 14:
The number 643 fits into 6150 9 times, leaving a remainder of 363.
Record the quotient 9 as the next digit in the result. 
Result so far: 142682.181959
If we take 5787 away from 6150, we end up with 363.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3630, and continue the process.

Let's proceed to step 15:
3630 divided by 643 is 5 with a remainder of 415.
Record the quotient 5 as the next digit in the result. 
Result so far: 142682.1819595
Deduct 3215 from 3630 and we're left with 415.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4150, and continue the process.

Step 16:
643 can be fit into 4150 6 times, resulting in a remainder of 292.
Record the quotient 6 as the next digit in the result. 
Result so far: 142682.18195956
Deduct 3858 from 4150 and we're left with 292.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2920, and continue the process.

After the division, we end up with 142682.18195956 and a remainder of 2.92e-07.