We look at the division of 89628844 by 641 
Our goal is to divide 89628844 by 641.

Step 1:
641 goes into 8 0 times with a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Append the next digit (9) from the dividend to 8 and continue with: 89 / 641

Step 2:
The number 641 fits into 89 0 times, leaving a remainder of 89.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 89 after subtracting 0 from 89.
Grab the next digit (6) from the dividend, add it to 89, then carry on: 896 / 641

Let's proceed to step 3:
If we divide 896 by 641, we get 1 and a remainder of 255.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 641 from 896, we get 255.
Include the next digit (2) from the dividend after 255, then repeat: 2552 / 641

Advancing to step 4:
When dividing 2552 by 641, we get 3 with a remainder of 629.
The next digit of our result is 3. 
Result so far: 13.0
Subtracting 1923 from 2552 leaves us with 629.
Grab the next digit (8) from the dividend, add it to 629, then carry on: 6298 / 641

Going ahead to step 5:
641 can be fit into 6298 9 times, resulting in a remainder of 529.
Write down 9 as next digit of the result. 
Result so far: 139.0
Subtracting 5769 from 6298 leaves us with 529.
Take the next digit (8) from the dividend and append it to 529, then repeat: 5298 / 641

Step 6:
The number 641 fits into 5298 8 times, leaving a remainder of 170.
Put 8 as the next digit of the answer. 
Result so far: 1398.0
If we take 5128 away from 5298, we end up with 170.
Take the next digit (4) from the dividend and append it to 170, then repeat: 1704 / 641

Going ahead to step 7:
641 goes into 1704 2 times with a remainder of 422.
The next digit of our result is 2. 
Result so far: 13982.0
Subtracting 1282 from 1704 leaves us with 422.
Fetch the next digit (4) from the dividend, attach it to 422 and continue: 4224 / 641

Moving on to step 8:
4224 divided by 641 is 6 with a remainder of 378.
The number 6 becomes the next digit in our result. 
Result so far: 139826.0
If we take 3846 away from 4224, we end up with 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

Let's proceed to step 9:
When dividing 3780 by 641, we get 5 with a remainder of 575.
The number 5 becomes the next digit in our result. 
Result so far: 139826.5
If we take 3205 away from 3780, we end up with 575.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5750, and continue the process.

Step 10:
641 goes into 5750 8 times with a remainder of 622.
Record the quotient 8 as the next digit in the result. 
Result so far: 139826.58
Deduct 5128 from 5750 and we're left with 622.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6220, and continue the process.

Let's proceed to step 11:
The number 641 fits into 6220 9 times, leaving a remainder of 451.
The number 9 becomes the next digit in our result. 
Result so far: 139826.589
The remainder is 451 after subtracting 5769 from 6220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4510, and continue the process.

Step 12:
The number 641 fits into 4510 7 times, leaving a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 139826.5897
If we take 4487 away from 4510, we end up with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 13:
641 can be fit into 230 0 times, resulting in a remainder of 230.
Write down 0 as next digit of the result. 
Result so far: 139826.5897
If we take 0 away from 230, we end up with 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2300, and continue the process.

On to step 14:
641 can be fit into 2300 3 times, resulting in a remainder of 377.
Write down 3 as next digit of the result. 
Result so far: 139826.589703
Subtract 1923 from 2300 to get 377.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3770, and continue the process.

Step 15:
641 goes into 3770 5 times with a remainder of 565.
Record the quotient 5 as the next digit in the result. 
Result so far: 139826.5897035
Deduct 3205 from 3770 and we're left with 565.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5650, and continue the process.

Moving on to step 16:
641 can be fit into 5650 8 times, resulting in a remainder of 522.
Use 8 as the next digit of our solution. 
Result so far: 139826.58970358
Subtract 5128 from 5650 to get 522.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5220, and continue the process.

The final outcome is 139826.58970358, with a leftover of 5.22e-07.