We look at the division of 744127 by 983 
Let's see how many times 983 fits into 744127.

On to step 1:
The number 983 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 983

Moving on to step 2:
The number 983 fits into 74 0 times, leaving a remainder of 74.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 74 leaves us with 74.
Bring next digit (4) of the dividend behind the 74 and repeat the process: 744 / 983

Moving on to step 3:
983 goes into 744 0 times with a remainder of 744.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 744 after subtracting 0 from 744.
Include the next digit (1) from the dividend after 744, then repeat: 7441 / 983

Step 4:
The number 983 fits into 7441 7 times, leaving a remainder of 560.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtract 6881 from 7441 to get 560.
Fetch the next digit (2) from the dividend, attach it to 560 and continue: 5602 / 983

On to step 5:
If we divide 5602 by 983, we get 5 and a remainder of 687.
Record the quotient 5 as the next digit in the result. 
Result so far: 75.0
If we subtract 4915 from 5602, we get 687.
Bring next digit (7) of the dividend behind the 687 and repeat the process: 6877 / 983

Going ahead to step 6:
If we divide 6877 by 983, we get 6 and a remainder of 979.
Record the quotient 6 as the next digit in the result. 
Result so far: 756.0
Subtracting 5898 from 6877 leaves us with 979.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9790, and continue the process.

Advancing to step 7:
983 goes into 9790 9 times with a remainder of 943.
Put 9 as the next digit of the answer. 
Result so far: 756.9
Subtract 8847 from 9790 to get 943.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9430, and continue the process.

Advancing to step 8:
When dividing 9430 by 983, we get 9 with a remainder of 583.
Put 9 as the next digit of the answer. 
Result so far: 756.99
If we subtract 8847 from 9430, we get 583.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5830, and continue the process.

The quotient of the division is 756.99, and the remainder is 0.583.