Let's divide 769588 by 7
We want to divide 769588 by 7.

On to step 1:
The number 7 fits into 7 1 times, leaving a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 7 from 7 and we're left with 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 7

On to step 2:
6 divided by 7 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 10.0
Subtract 0 from 6 to get 6.
Fetch the next digit (9) from the dividend, attach it to 6 and continue: 69 / 7

Let's proceed to step 3:
When dividing 69 by 7, we get 9 with a remainder of 6.
The next digit of our result is 9. 
Result so far: 109.0
Deduct 63 from 69 and we're left with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 7

Advancing to step 4:
7 goes into 65 9 times with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 1099.0
The remainder is 2 after subtracting 63 from 65.
Fetch the next digit (8) from the dividend, attach it to 2 and continue: 28 / 7

Moving on to step 5:
If we divide 28 by 7, we get 4 and a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 10994.0
The remainder is 0 after subtracting 28 from 28.
Take the next digit (8) from the dividend and append it to 0, then repeat: 8 / 7

Moving on to step 6:
7 goes into 8 1 times with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 109941.0
If we take 7 away from 8, 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.

Going ahead to step 7:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 109941.1
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 8:
When dividing 30 by 7, we get 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 109941.14
Deduct 28 from 30 and we're left 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.

Advancing to step 9:
7 can be fit into 20 2 times, resulting in a remainder of 6.
The next digit of our result is 2. 
Result so far: 109941.142
The remainder is 6 after subtracting 14 from 20.
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 10:
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: 109941.1428
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.

Advancing to step 11:
40 divided by 7 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 109941.14285
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.

Advancing to step 12:
50 divided by 7 is 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 109941.142857
Deduct 49 from 50 and we're left 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.

Going ahead to step 13:
10 divided by 7 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 109941.1428571
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.

Moving on to step 14:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 109941.14285714
Subtract 28 from 30 to 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.

The final outcome is 109941.14285714, with a leftover of 2e-09.