We look at the division of 944913 by 841 
Let's see how many times 841 fits into 944913.

Going ahead to step 1:
841 goes into 9 0 times with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Grab the next digit (4) from the dividend, add it to 9, then carry on: 94 / 841

Let's proceed to step 2:
841 can be fit into 94 0 times, resulting in a remainder of 94.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 94, we end up with 94.
Append the next digit (4) from the dividend to 94 and continue with: 944 / 841

Let's proceed to step 3:
When dividing 944 by 841, we get 1 with a remainder of 103.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 841 from 944, we get 103.
Include the next digit (9) from the dividend after 103, then repeat: 1039 / 841

Step 4:
841 goes into 1039 1 times with a remainder of 198.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
If we subtract 841 from 1039, we get 198.
Grab the next digit (1) from the dividend, add it to 198, then carry on: 1981 / 841

Advancing to step 5:
The number 841 fits into 1981 2 times, leaving a remainder of 299.
Put 2 as the next digit of the answer. 
Result so far: 112.0
If we take 1682 away from 1981, we end up with 299.
Grab the next digit (3) from the dividend, add it to 299, then carry on: 2993 / 841

On to step 6:
If we divide 2993 by 841, we get 3 and a remainder of 470.
Use 3 as the next digit of our solution. 
Result so far: 1123.0
Subtract 2523 from 2993 to get 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4700, and continue the process.

Let's proceed to step 7:
841 goes into 4700 5 times with a remainder of 495.
The next digit of our result is 5. 
Result so far: 1123.5
Subtract 4205 from 4700 to get 495.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4950, and continue the process.

Step 8:
The number 841 fits into 4950 5 times, leaving a remainder of 745.
Use 5 as the next digit of our solution. 
Result so far: 1123.55
Subtracting 4205 from 4950 leaves us with 745.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7450, and continue the process.

The final outcome is 1123.55, with a leftover of 0.745.