We look at the division of 744178 by 66 
We're looking to find how many times 66 goes into 744178.

Advancing to step 1:
66 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (4) from the dividend to 7 and continue with: 74 / 66

Moving on to step 2:
74 divided by 66 is 1 with a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 66 away from 74, we end up with 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 66

On to step 3:
66 can be fit into 84 1 times, resulting in a remainder of 18.
The next digit of our result is 1. 
Result so far: 11.0
If we subtract 66 from 84, we get 18.
Append the next digit (1) from the dividend to 18 and continue with: 181 / 66

On to step 4:
The number 66 fits into 181 2 times, leaving a remainder of 49.
The next digit of our result is 2. 
Result so far: 112.0
The remainder is 49 after subtracting 132 from 181.
Fetch the next digit (7) from the dividend, attach it to 49 and continue: 497 / 66

Going ahead to step 5:
66 can be fit into 497 7 times, resulting in a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 1127.0
Subtract 462 from 497 to get 35.
Fetch the next digit (8) from the dividend, attach it to 35 and continue: 358 / 66

Moving on to step 6:
When dividing 358 by 66, we get 5 with a remainder of 28.
Write down 5 as next digit of the result. 
Result so far: 11275.0
If we subtract 330 from 358, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 7:
66 goes into 280 4 times with a remainder of 16.
The next digit of our result is 4. 
Result so far: 11275.4
Deduct 264 from 280 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 8:
If we divide 160 by 66, we get 2 and a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 11275.42
If we take 132 away from 160, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 9:
66 goes into 280 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 11275.424
If we subtract 264 from 280, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 10:
160 divided by 66 is 2 with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 11275.4242
If we subtract 132 from 160, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 11:
66 goes into 280 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 11275.42424
The remainder is 16 after subtracting 264 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 12:
If we divide 160 by 66, we get 2 and a remainder of 28.
Record the quotient 2 as the next digit in the result. 
Result so far: 11275.424242
The remainder is 28 after subtracting 132 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 13:
66 can be fit into 280 4 times, resulting in a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 11275.4242424
Subtracting 264 from 280 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 14:
The number 66 fits into 160 2 times, leaving a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 11275.42424242
Subtracting 132 from 160 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The quotient of the division is 11275.42424242, and the remainder is 2.8e-08.