We look at the division of 975769 by 7 
We want to divide 975769 by 7.

Step 1:
7 can be fit into 9 1 times, resulting in a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 2 after subtracting 7 from 9.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 7

Step 2:
When dividing 27 by 7, we get 3 with a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we subtract 21 from 27, we get 6.
Include the next digit (5) from the dividend after 6, then repeat: 65 / 7

Advancing to step 3:
When dividing 65 by 7, we get 9 with a remainder of 2.
The next digit of our result is 9. 
Result so far: 139.0
If we subtract 63 from 65, we get 2.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 7

Step 4:
7 goes into 27 3 times with a remainder of 6.
The number 3 becomes the next digit in our result. 
Result so far: 1393.0
The remainder is 6 after subtracting 21 from 27.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 7

Moving on to step 5:
The number 7 fits into 66 9 times, leaving a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 13939.0
The remainder is 3 after subtracting 63 from 66.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 7

Step 6:
When dividing 39 by 7, we get 5 with a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 139395.0
Subtracting 35 from 39 leaves us 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.

Moving on to step 7:
7 goes into 40 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 139395.5
Subtract 35 from 40 to 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.

Moving on to step 8:
When dividing 50 by 7, we get 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 139395.57
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 9:
10 divided by 7 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 139395.571
If we take 7 away from 10, we end up 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.

On to step 10:
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: 139395.5714
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.

Step 11:
7 can be fit into 20 2 times, resulting in a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 139395.57142
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.

Moving on to step 12:
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: 139395.571428
Subtracting 56 from 60 leaves us 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.

On to step 13:
7 can be fit into 40 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 139395.5714285
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:
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: 139395.57142857
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.

The final outcome is 139395.57142857, with a leftover of 1e-09.