We look at the division of 747629 by 7 
We're looking to find how many times 7 goes into 747629.

Step 1:
7 divided by 7 is 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 7 from 7 leaves us with 0.
Grab the next digit (4) from the dividend, add it to 0, then carry on: 4 / 7

Let's proceed to step 2:
7 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 10.0
If we subtract 0 from 4, we get 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 7

Going ahead to step 3:
The number 7 fits into 47 6 times, leaving a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 106.0
If we subtract 42 from 47, we get 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 7

Let's proceed to step 4:
If we divide 56 by 7, we get 8 and a remainder of 0.
The number 8 becomes the next digit in our result. 
Result so far: 1068.0
The remainder is 0 after subtracting 56 from 56.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 7

On to step 5:
7 goes into 2 0 times with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 10680.0
Subtract 0 from 2 to get 2.
Bring next digit (9) of the dividend behind the 2 and repeat the process: 29 / 7

On to step 6:
7 goes into 29 4 times with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 106804.0
If we take 28 away from 29, 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:
If we divide 10 by 7, we get 1 and a remainder of 3.
The next digit of our result is 1. 
Result so far: 106804.1
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 8:
The number 7 fits into 30 4 times, leaving a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 106804.14
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:
If we divide 20 by 7, we get 2 and a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 106804.142
Subtracting 14 from 20 leaves us 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 10:
If we divide 60 by 7, we get 8 and a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 106804.1428
If we take 56 away from 60, we end up 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.

Step 11:
If we divide 40 by 7, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 106804.14285
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.

Step 12:
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: 106804.142857
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 13:
7 can be fit into 10 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 106804.1428571
Subtracting 7 from 10 leaves us 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 14:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 106804.14285714
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.

The final outcome is 106804.14285714, with a leftover of 2e-09.