We divide 743669 by 7
We want to figure out the number of times 743669 can be divided by 7.

On to step 1:
If we divide 7 by 7, we get 1 and a remainder of 0.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 7 from 7 and we're left with 0.
Append the next digit (4) from the dividend to 0 and continue with: 4 / 7

Step 2:
If we divide 4 by 7, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 4 leaves us with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 7

Let's proceed to step 3:
The number 7 fits into 43 6 times, leaving a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 106.0
The remainder is 1 after subtracting 42 from 43.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 7

Advancing to step 4:
If we divide 16 by 7, we get 2 and a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 1062.0
Subtracting 14 from 16 leaves us with 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 7

Going ahead to step 5:
The number 7 fits into 26 3 times, leaving a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 10623.0
If we take 21 away from 26, we end up with 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 7

Advancing to step 6:
59 divided by 7 is 8 with a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 106238.0
Deduct 56 from 59 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:
7 can be fit into 30 4 times, resulting in a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 106238.4
Subtracting 28 from 30 leaves us 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.

On to step 8:
The number 7 fits into 20 2 times, leaving a remainder of 6.
The next digit of our result is 2. 
Result so far: 106238.42
Subtract 14 from 20 to get 6.
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 9:
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: 106238.428
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:
7 goes into 40 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 106238.4285
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.

Step 11:
7 can be fit into 50 7 times, resulting in a remainder of 1.
The next digit of our result is 7. 
Result so far: 106238.42857
Subtracting 49 from 50 leaves us 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:
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: 106238.428571
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.

Going ahead to step 13:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 106238.4285714
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.

Moving on to step 14:
7 goes into 20 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 106238.42857142
Deduct 14 from 20 and we're left 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.

In conclusion, the division gives 106238.42857142 with a balance of 6e-09.