We divide 71901023 by 643
Our goal is to divide 71901023 by 643.

On to step 1:
643 goes into 7 0 times with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 643

Advancing to step 2:
The number 643 fits into 71 0 times, leaving a remainder of 71.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 71 leaves us with 71.
Grab the next digit (9) from the dividend, add it to 71, then carry on: 719 / 643

On to step 3:
643 can be fit into 719 1 times, resulting in a remainder of 76.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 643 from 719 to get 76.
Append the next digit (0) from the dividend to 76 and continue with: 760 / 643

Step 4:
When dividing 760 by 643, we get 1 with a remainder of 117.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
The remainder is 117 after subtracting 643 from 760.
Grab the next digit (1) from the dividend, add it to 117, then carry on: 1171 / 643

On to step 5:
643 goes into 1171 1 times with a remainder of 528.
The next digit of our result is 1. 
Result so far: 111.0
If we subtract 643 from 1171, we get 528.
Take the next digit (0) from the dividend and append it to 528, then repeat: 5280 / 643

Going ahead to step 6:
If we divide 5280 by 643, we get 8 and a remainder of 136.
Use 8 as the next digit of our solution. 
Result so far: 1118.0
Deduct 5144 from 5280 and we're left with 136.
Take the next digit (2) from the dividend and append it to 136, then repeat: 1362 / 643

Advancing to step 7:
The number 643 fits into 1362 2 times, leaving a remainder of 76.
The next digit of our result is 2. 
Result so far: 11182.0
The remainder is 76 after subtracting 1286 from 1362.
Fetch the next digit (3) from the dividend, attach it to 76 and continue: 763 / 643

Let's proceed to step 8:
643 can be fit into 763 1 times, resulting in a remainder of 120.
Record the quotient 1 as the next digit in the result. 
Result so far: 111821.0
If we subtract 643 from 763, we get 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

On to step 9:
If we divide 1200 by 643, we get 1 and a remainder of 557.
The next digit of our result is 1. 
Result so far: 111821.1
If we take 643 away from 1200, we end up with 557.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5570, and continue the process.

Step 10:
If we divide 5570 by 643, we get 8 and a remainder of 426.
Record the quotient 8 as the next digit in the result. 
Result so far: 111821.18
Subtract 5144 from 5570 to get 426.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4260, and continue the process.

Moving on to step 11:
4260 divided by 643 is 6 with a remainder of 402.
Use 6 as the next digit of our solution. 
Result so far: 111821.186
Deduct 3858 from 4260 and we're left with 402.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

Let's proceed to step 12:
The number 643 fits into 4020 6 times, leaving a remainder of 162.
The next digit of our result is 6. 
Result so far: 111821.1866
The remainder is 162 after subtracting 3858 from 4020.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1620, and continue the process.

After the division, we end up with 111821.1866 and a remainder of 0.00162.