10337466 ÷ 944 
Our goal is to divide 10337466 by 944.

On to step 1:
1 divided by 944 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 944

On to step 2:
10 divided by 944 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 944

Step 3:
944 can be fit into 103 0 times, resulting in a remainder of 103.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 103 to get 103.
Grab the next digit (3) from the dividend, add it to 103, then carry on: 1033 / 944

Going ahead to step 4:
944 goes into 1033 1 times with a remainder of 89.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 944 from 1033 and we're left with 89.
Bring next digit (7) of the dividend behind the 89 and repeat the process: 897 / 944

Advancing to step 5:
897 divided by 944 is 0 with a remainder of 897.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Subtracting 0 from 897 leaves us with 897.
Take the next digit (4) from the dividend and append it to 897, then repeat: 8974 / 944

Going ahead to step 6:
8974 divided by 944 is 9 with a remainder of 478.
Use 9 as the next digit of our solution. 
Result so far: 109.0
The remainder is 478 after subtracting 8496 from 8974.
Bring next digit (6) of the dividend behind the 478 and repeat the process: 4786 / 944

On to step 7:
4786 divided by 944 is 5 with a remainder of 66.
The next digit of our result is 5. 
Result so far: 1095.0
If we take 4720 away from 4786, we end up with 66.
Append the next digit (6) from the dividend to 66 and continue with: 666 / 944

Moving on to step 8:
944 goes into 666 0 times with a remainder of 666.
The number 0 becomes the next digit in our result. 
Result so far: 10950.0
If we subtract 0 from 666, we get 666.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6660, and continue the process.

Step 9:
The number 944 fits into 6660 7 times, leaving a remainder of 52.
Write down 7 as next digit of the result. 
Result so far: 10950.7
If we subtract 6608 from 6660, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 10:
944 goes into 520 0 times with a remainder of 520.
The next digit of our result is 0. 
Result so far: 10950.7
If we subtract 0 from 520, we get 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

Going ahead to step 11:
If we divide 5200 by 944, we get 5 and a remainder of 480.
The next digit of our result is 5. 
Result so far: 10950.705
Subtract 4720 from 5200 to get 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

Going ahead to step 12:
When dividing 4800 by 944, we get 5 with a remainder of 80.
Put 5 as the next digit of the answer. 
Result so far: 10950.7055
Subtract 4720 from 4800 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

The final result is 10950.7055 with a remainder of 0.0008.