743913 ÷ 66 
Our goal is to divide 743913 by 66.

Let's proceed to step 1:
If we divide 7 by 66, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 66

Advancing to step 2:
When dividing 74 by 66, we get 1 with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 66 from 74 and we're left with 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 66

Advancing to step 3:
The number 66 fits into 83 1 times, leaving a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we take 66 away from 83, we end up with 17.
Bring next digit (9) of the dividend behind the 17 and repeat the process: 179 / 66

Moving on to step 4:
66 goes into 179 2 times with a remainder of 47.
Write down 2 as next digit of the result. 
Result so far: 112.0
Subtract 132 from 179 to get 47.
Include the next digit (1) from the dividend after 47, then repeat: 471 / 66

Going ahead to step 5:
471 divided by 66 is 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 1127.0
If we take 462 away from 471, we end up with 9.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 66

Moving on to step 6:
66 goes into 93 1 times with a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 11271.0
Subtract 66 from 93 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 7:
270 divided by 66 is 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 11271.4
Deduct 264 from 270 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.

Moving on to step 8:
When dividing 60 by 66, we get 0 with a remainder of 60.
The next digit of our result is 0. 
Result so far: 11271.4
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 9:
When dividing 600 by 66, we get 9 with a remainder of 6.
The next digit of our result is 9. 
Result so far: 11271.409
If we take 594 away from 600, 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.

Going ahead to step 10:
66 can be fit into 60 0 times, resulting in a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 11271.409
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 11:
66 goes into 600 9 times with a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 11271.40909
Subtract 594 from 600 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.

Let's proceed to step 12:
60 divided by 66 is 0 with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 11271.40909
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 13:
If we divide 600 by 66, we get 9 and a remainder of 6.
The next digit of our result is 9. 
Result so far: 11271.4090909
Subtract 594 from 600 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.

Step 14:
The number 66 fits into 60 0 times, leaving a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 11271.4090909
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final result is 11271.4090909 with a remainder of 6e-08.