We look at the division of 7747 by 7 
Our goal is to divide 7747 by 7.

Going ahead 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
Deduct 7 from 7 and we're left with 0.
Append the next digit (7) from the dividend to 0 and continue with: 7 / 7

On to step 2:
When dividing 7 by 7, we get 1 with a remainder of 0.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtract 7 from 7 to get 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 7

On to step 3:
When dividing 4 by 7, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 110.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 7

Step 4:
If we divide 47 by 7, we get 6 and a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 1106.0
If we subtract 42 from 47, 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.

Moving on to step 5:
The number 7 fits into 50 7 times, leaving a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 1106.7
If we subtract 49 from 50, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 6:
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: 1106.71
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.

Let's proceed to step 7:
If we divide 30 by 7, we get 4 and a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 1106.714
The remainder is 2 after subtracting 28 from 30.
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 8:
20 divided by 7 is 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 1106.7142
If we take 14 away from 20, we end up 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.

Step 9:
7 goes into 60 8 times with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 1106.71428
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 10:
40 divided by 7 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 1106.714285
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 11:
If we divide 50 by 7, we get 7 and a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 1106.7142857
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.

On to step 12:
7 goes into 10 1 times with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1106.71428571
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.

In conclusion, the division gives 1106.71428571 with a balance of 3e-09.