We're dividing 743766 by 7 
We want to figure out the number of times 743766 can be divided by 7.

Let's proceed to step 1:
7 can be fit into 7 1 times, resulting in a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 7 from 7 leaves us with 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 7

Step 2:
If we divide 4 by 7, we get 0 and a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 7

Advancing to step 3:
The number 7 fits into 43 6 times, leaving a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 106.0
Subtract 42 from 43 to get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 7

Step 4:
When dividing 17 by 7, we get 2 with a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 1062.0
The remainder is 3 after subtracting 14 from 17.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 7

Going ahead to step 5:
36 divided by 7 is 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 10625.0
If we subtract 35 from 36, we get 1.
Fetch the next digit (6) from the dividend, attach it to 1 and continue: 16 / 7

On to step 6:
16 divided by 7 is 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 106252.0
Subtract 14 from 16 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.

Going ahead to step 7:
20 divided by 7 is 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 106252.2
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.

Step 8:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 106252.28
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.

Moving on to step 9:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 106252.285
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 10:
50 divided by 7 is 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 106252.2857
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.

On to step 11:
When dividing 10 by 7, we get 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 106252.28571
Subtract 7 from 10 to get 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 12:
When dividing 30 by 7, we get 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 106252.285714
If we take 28 away from 30, we end up 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.

Let's proceed to step 13:
The number 7 fits into 20 2 times, leaving a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 106252.2857142
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.

On to step 14:
7 can be fit into 60 8 times, resulting in a remainder of 4.
The next digit of our result is 8. 
Result so far: 106252.28571428
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.

The final result is 106252.28571428 with a remainder of 4e-09.