681221 ÷ 86 
We're looking to find how many times 86 goes into 681221.

On to step 1:
If we divide 6 by 86, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 86

Let's proceed to step 2:
The number 86 fits into 68 0 times, leaving a remainder of 68.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 68 and we're left with 68.
Bring next digit (1) of the dividend behind the 68 and repeat the process: 681 / 86

Advancing to step 3:
When dividing 681 by 86, we get 7 with a remainder of 79.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 602 from 681 leaves us with 79.
Fetch the next digit (2) from the dividend, attach it to 79 and continue: 792 / 86

Going ahead to step 4:
86 goes into 792 9 times with a remainder of 18.
The number 9 becomes the next digit in our result. 
Result so far: 79.0
Subtracting 774 from 792 leaves us with 18.
Bring next digit (2) of the dividend behind the 18 and repeat the process: 182 / 86

Advancing to step 5:
The number 86 fits into 182 2 times, leaving a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 792.0
If we take 172 away from 182, we end up with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 86

Advancing to step 6:
86 goes into 101 1 times with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 7921.0
Deduct 86 from 101 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 7:
86 can be fit into 150 1 times, resulting in a remainder of 64.
Put 1 as the next digit of the answer. 
Result so far: 7921.1
If we subtract 86 from 150, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 8:
The number 86 fits into 640 7 times, leaving a remainder of 38.
Put 7 as the next digit of the answer. 
Result so far: 7921.17
If we take 602 away from 640, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 9:
86 can be fit into 380 4 times, resulting in a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 7921.174
If we subtract 344 from 380, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 10:
If we divide 360 by 86, we get 4 and a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 7921.1744
If we take 344 away from 360, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 7921.1744, and the remainder is 0.00016.