86341781 ÷ 641 
We want to figure out the number of times 86341781 can be divided by 641.

Advancing to step 1:
8 divided by 641 is 0 with a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 641

Going ahead to step 2:
The number 641 fits into 86 0 times, leaving a remainder of 86.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 86 after subtracting 0 from 86.
Append the next digit (3) from the dividend to 86 and continue with: 863 / 641

On to step 3:
641 can be fit into 863 1 times, resulting in a remainder of 222.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 641 from 863, we get 222.
Take the next digit (4) from the dividend and append it to 222, then repeat: 2224 / 641

Moving on to step 4:
641 goes into 2224 3 times with a remainder of 301.
The next digit of our result is 3. 
Result so far: 13.0
Deduct 1923 from 2224 and we're left with 301.
Take the next digit (1) from the dividend and append it to 301, then repeat: 3011 / 641

Moving on to step 5:
641 can be fit into 3011 4 times, resulting in a remainder of 447.
Put 4 as the next digit of the answer. 
Result so far: 134.0
Subtract 2564 from 3011 to get 447.
Grab the next digit (7) from the dividend, add it to 447, then carry on: 4477 / 641

Let's proceed to step 6:
641 can be fit into 4477 6 times, resulting in a remainder of 631.
Use 6 as the next digit of our solution. 
Result so far: 1346.0
If we take 3846 away from 4477, we end up with 631.
Append the next digit (8) from the dividend to 631 and continue with: 6318 / 641

On to step 7:
641 can be fit into 6318 9 times, resulting in a remainder of 549.
Put 9 as the next digit of the answer. 
Result so far: 13469.0
Subtracting 5769 from 6318 leaves us with 549.
Append the next digit (1) from the dividend to 549 and continue with: 5491 / 641

Moving on to step 8:
The number 641 fits into 5491 8 times, leaving a remainder of 363.
Record the quotient 8 as the next digit in the result. 
Result so far: 134698.0
If we take 5128 away from 5491, 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.

On to step 9:
If we divide 3630 by 641, we get 5 and a remainder of 425.
The next digit of our result is 5. 
Result so far: 134698.5
Deduct 3205 from 3630 and we're left with 425.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4250, and continue the process.

Step 10:
641 can be fit into 4250 6 times, resulting in a remainder of 404.
The next digit of our result is 6. 
Result so far: 134698.56
Subtracting 3846 from 4250 leaves us with 404.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4040, and continue the process.

Let's proceed to step 11:
641 can be fit into 4040 6 times, resulting in a remainder of 194.
The number 6 becomes the next digit in our result. 
Result so far: 134698.566
If we subtract 3846 from 4040, we get 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

The quotient of the division is 134698.566, and the remainder is 0.0194.