Let's divide 760421 by 7
We want to divide 760421 by 7.

Advancing to step 1:
7 goes into 7 1 times with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
If we take 7 away from 7, we end up with 0.
Include the next digit (6) from the dividend after 0, then repeat: 6 / 7

Let's proceed to step 2:
7 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we take 0 away from 6, we end up with 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 7

Going ahead to step 3:
When dividing 60 by 7, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 108.0
The remainder is 4 after subtracting 56 from 60.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 7

Advancing to step 4:
The number 7 fits into 44 6 times, leaving a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 1086.0
Subtracting 42 from 44 leaves us with 2.
Grab the next digit (2) from the dividend, add it to 2, then carry on: 22 / 7

Moving on to step 5:
7 goes into 22 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 10863.0
If we take 21 away from 22, we end up with 1.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 7

Advancing to step 6:
7 can be fit into 11 1 times, resulting in a remainder of 4.
The next digit of our result is 1. 
Result so far: 108631.0
Subtract 7 from 11 to 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.

Step 7:
The number 7 fits into 40 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 108631.5
Subtracting 35 from 40 leaves us 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.

On to step 8:
If we divide 50 by 7, we get 7 and a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 108631.57
Subtracting 49 from 50 leaves us 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 9:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 108631.571
Deduct 7 from 10 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 10:
The number 7 fits into 30 4 times, leaving a remainder of 2.
The next digit of our result is 4. 
Result so far: 108631.5714
If we subtract 28 from 30, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 11:
When dividing 20 by 7, we get 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 108631.57142
Deduct 14 from 20 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 12:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 108631.571428
Subtract 56 from 60 to 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.

Going ahead to step 13:
When dividing 40 by 7, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 108631.5714285
If we subtract 35 from 40, we get 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 14:
7 goes into 50 7 times with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 108631.57142857
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.

In conclusion, the division gives 108631.57142857 with a balance of 1e-09.