We look at the division of 87378296 by 643 
Our goal is to divide 87378296 by 643.

Moving on to step 1:
643 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 643

Advancing to step 2:
643 goes into 87 0 times with a remainder of 87.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 87 after subtracting 0 from 87.
Fetch the next digit (3) from the dividend, attach it to 87 and continue: 873 / 643

Step 3:
873 divided by 643 is 1 with a remainder of 230.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 643 from 873 and we're left with 230.
Bring next digit (7) of the dividend behind the 230 and repeat the process: 2307 / 643

Step 4:
643 can be fit into 2307 3 times, resulting in a remainder of 378.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Deduct 1929 from 2307 and we're left with 378.
Bring next digit (8) of the dividend behind the 378 and repeat the process: 3788 / 643

Moving on to step 5:
643 can be fit into 3788 5 times, resulting in a remainder of 573.
Write down 5 as next digit of the result. 
Result so far: 135.0
If we take 3215 away from 3788, we end up with 573.
Append the next digit (2) from the dividend to 573 and continue with: 5732 / 643

Moving on to step 6:
When dividing 5732 by 643, we get 8 with a remainder of 588.
Use 8 as the next digit of our solution. 
Result so far: 1358.0
Deduct 5144 from 5732 and we're left with 588.
Grab the next digit (9) from the dividend, add it to 588, then carry on: 5889 / 643

Step 7:
643 goes into 5889 9 times with a remainder of 102.
Record the quotient 9 as the next digit in the result. 
Result so far: 13589.0
If we take 5787 away from 5889, we end up with 102.
Append the next digit (6) from the dividend to 102 and continue with: 1026 / 643

Going ahead to step 8:
1026 divided by 643 is 1 with a remainder of 383.
The next digit of our result is 1. 
Result so far: 135891.0
Subtracting 643 from 1026 leaves us with 383.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3830, and continue the process.

Moving on to step 9:
643 can be fit into 3830 5 times, resulting in a remainder of 615.
The number 5 becomes the next digit in our result. 
Result so far: 135891.5
Subtract 3215 from 3830 to get 615.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6150, and continue the process.

Let's proceed to step 10:
When dividing 6150 by 643, we get 9 with a remainder of 363.
Record the quotient 9 as the next digit in the result. 
Result so far: 135891.59
Subtract 5787 from 6150 to get 363.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3630, and continue the process.

Advancing to step 11:
643 goes into 3630 5 times with a remainder of 415.
The next digit of our result is 5. 
Result so far: 135891.595
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.

Advancing to step 12:
The number 643 fits into 4150 6 times, leaving a remainder of 292.
Use 6 as the next digit of our solution. 
Result so far: 135891.5956
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.

Going ahead to step 13:
If we divide 2920 by 643, we get 4 and a remainder of 348.
The next digit of our result is 4. 
Result so far: 135891.59564
Subtract 2572 from 2920 to get 348.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3480, and continue the process.

Moving on to step 14:
The number 643 fits into 3480 5 times, leaving a remainder of 265.
Use 5 as the next digit of our solution. 
Result so far: 135891.595645
The remainder is 265 after subtracting 3215 from 3480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2650, and continue the process.

Let's proceed to step 15:
643 can be fit into 2650 4 times, resulting in a remainder of 78.
Write down 4 as next digit of the result. 
Result so far: 135891.5956454
The remainder is 78 after subtracting 2572 from 2650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 16:
When dividing 780 by 643, we get 1 with a remainder of 137.
Write down 1 as next digit of the result. 
Result so far: 135891.59564541
The remainder is 137 after subtracting 643 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1370, and continue the process.

The final result is 135891.59564541 with a remainder of 1.37e-07.