Let's divide 813721 by 7
We want to divide 813721 by 7.

Advancing to step 1:
7 can be fit into 8 1 times, resulting in a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 7 away from 8, we end up with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 7

Going ahead to step 2:
11 divided by 7 is 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Deduct 7 from 11 and we're left with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 7

Moving on to step 3:
When dividing 43 by 7, we get 6 with a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 116.0
If we subtract 42 from 43, we get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 7

Going ahead to step 4:
The number 7 fits into 17 2 times, leaving a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 1162.0
If we take 14 away from 17, we end up with 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 7

Moving on to step 5:
7 goes into 32 4 times with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 11624.0
Deduct 28 from 32 and we're left with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 7

On to step 6:
7 can be fit into 41 5 times, resulting in a remainder of 6.
Write down 5 as next digit of the result. 
Result so far: 116245.0
The remainder is 6 after subtracting 35 from 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
7 goes into 60 8 times with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 116245.8
If we subtract 56 from 60, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 8:
7 can be fit into 40 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 116245.85
Deduct 35 from 40 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
If we divide 50 by 7, we get 7 and a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 116245.857
If we take 49 away from 50, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 10:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 116245.8571
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 11:
If we divide 30 by 7, we get 4 and a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 116245.85714
If we take 28 away from 30, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 12:
20 divided by 7 is 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 116245.857142
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 13:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 116245.8571428
Deduct 56 from 60 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 14:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 116245.85714285
Deduct 35 from 40 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 116245.85714285 with a remaining 5e-09.