1091027 ÷ 641 
Our goal is to divide 1091027 by 641.

Let's proceed to step 1:
641 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 641

Going ahead to step 2:
The number 641 fits into 10 0 times, leaving a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 641

Step 3:
If we divide 109 by 641, we get 0 and a remainder of 109.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 109 and we're left with 109.
Grab the next digit (1) from the dividend, add it to 109, then carry on: 1091 / 641

Moving on to step 4:
The number 641 fits into 1091 1 times, leaving a remainder of 450.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 641 away from 1091, we end up with 450.
Take the next digit (0) from the dividend and append it to 450, then repeat: 4500 / 641

Let's proceed to step 5:
The number 641 fits into 4500 7 times, leaving a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 17.0
If we take 4487 away from 4500, we end up with 13.
Append the next digit (2) from the dividend to 13 and continue with: 132 / 641

Advancing to step 6:
641 goes into 132 0 times with a remainder of 132.
Use 0 as the next digit of our solution. 
Result so far: 170.0
Deduct 0 from 132 and we're left with 132.
Include the next digit (7) from the dividend after 132, then repeat: 1327 / 641

Moving on to step 7:
1327 divided by 641 is 2 with a remainder of 45.
Put 2 as the next digit of the answer. 
Result so far: 1702.0
Subtracting 1282 from 1327 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 8:
If we divide 450 by 641, we get 0 and a remainder of 450.
The next digit of our result is 0. 
Result so far: 1702.0
The remainder is 450 after subtracting 0 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4500, and continue the process.

Going ahead to step 9:
641 goes into 4500 7 times with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 1702.07
Subtract 4487 from 4500 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 10:
130 divided by 641 is 0 with a remainder of 130.
Write down 0 as next digit of the result. 
Result so far: 1702.07
Subtracting 0 from 130 leaves us with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Step 11:
If we divide 1300 by 641, we get 2 and a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 1702.0702
If we subtract 1282 from 1300, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 12:
When dividing 180 by 641, we get 0 with a remainder of 180.
Use 0 as the next digit of our solution. 
Result so far: 1702.0702
Subtract 0 from 180 to get 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

Moving on to step 13:
641 goes into 1800 2 times with a remainder of 518.
The next digit of our result is 2. 
Result so far: 1702.070202
Subtract 1282 from 1800 to get 518.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5180, and continue the process.

Step 14:
5180 divided by 641 is 8 with a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 1702.0702028
If we subtract 5128 from 5180, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 15:
The number 641 fits into 520 0 times, leaving a remainder of 520.
The next digit of our result is 0. 
Result so far: 1702.0702028
If we take 0 away from 520, we end up with 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

The final outcome is 1702.0702028, with a leftover of 5.2e-07.