We divide 306603 by 44
We want to divide 306603 by 44.

Going ahead to step 1:
44 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 44

On to step 2:
When dividing 30 by 44, we get 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 30 and we're left with 30.
Append the next digit (6) from the dividend to 30 and continue with: 306 / 44

Advancing to step 3:
If we divide 306 by 44, we get 6 and a remainder of 42.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 42 after subtracting 264 from 306.
Append the next digit (6) from the dividend to 42 and continue with: 426 / 44

Advancing to step 4:
44 can be fit into 426 9 times, resulting in a remainder of 30.
The next digit of our result is 9. 
Result so far: 69.0
Deduct 396 from 426 and we're left with 30.
Take the next digit (0) from the dividend and append it to 30, then repeat: 300 / 44

Advancing to step 5:
44 goes into 300 6 times with a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 696.0
Subtracting 264 from 300 leaves us with 36.
Grab the next digit (3) from the dividend, add it to 36, then carry on: 363 / 44

Let's proceed to step 6:
44 goes into 363 8 times with a remainder of 11.
The next digit of our result is 8. 
Result so far: 6968.0
Subtract 352 from 363 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
44 can be fit into 110 2 times, resulting in a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 6968.2
If we take 88 away from 110, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 8:
If we divide 220 by 44, we get 5 and a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 6968.25
Subtract 220 from 220 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 9:
The number 44 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 6968.25
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 10:
0 divided by 44 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 6968.25
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 6968.25 and a remainder of 0.0.