We're dividing 34790903 by 723 
We want to figure out the number of times 34790903 can be divided by 723.

Step 1:
The number 723 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 723

On to step 2:
723 can be fit into 34 0 times, resulting in a remainder of 34.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 34 after subtracting 0 from 34.
Include the next digit (7) from the dividend after 34, then repeat: 347 / 723

Advancing to step 3:
347 divided by 723 is 0 with a remainder of 347.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 347 to get 347.
Bring next digit (9) of the dividend behind the 347 and repeat the process: 3479 / 723

Advancing to step 4:
When dividing 3479 by 723, we get 4 with a remainder of 587.
Put 4 as the next digit of the answer. 
Result so far: 4.0
Deduct 2892 from 3479 and we're left with 587.
Bring next digit (0) of the dividend behind the 587 and repeat the process: 5870 / 723

Going ahead to step 5:
723 goes into 5870 8 times with a remainder of 86.
Put 8 as the next digit of the answer. 
Result so far: 48.0
If we take 5784 away from 5870, we end up with 86.
Include the next digit (9) from the dividend after 86, then repeat: 869 / 723

Moving on to step 6:
723 goes into 869 1 times with a remainder of 146.
The number 1 becomes the next digit in our result. 
Result so far: 481.0
Subtracting 723 from 869 leaves us with 146.
Grab the next digit (0) from the dividend, add it to 146, then carry on: 1460 / 723

Going ahead to step 7:
723 goes into 1460 2 times with a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 4812.0
If we take 1446 away from 1460, we end up with 14.
Bring next digit (3) of the dividend behind the 14 and repeat the process: 143 / 723

Moving on to step 8:
If we divide 143 by 723, we get 0 and a remainder of 143.
Record the quotient 0 as the next digit in the result. 
Result so far: 48120.0
Deduct 0 from 143 and we're left with 143.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1430, and continue the process.

Let's proceed to step 9:
The number 723 fits into 1430 1 times, leaving a remainder of 707.
Record the quotient 1 as the next digit in the result. 
Result so far: 48120.1
If we subtract 723 from 1430, we get 707.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7070, and continue the process.

Going ahead to step 10:
723 goes into 7070 9 times with a remainder of 563.
The next digit of our result is 9. 
Result so far: 48120.19
Deduct 6507 from 7070 and we're left with 563.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5630, and continue the process.

Going ahead to step 11:
If we divide 5630 by 723, we get 7 and a remainder of 569.
Record the quotient 7 as the next digit in the result. 
Result so far: 48120.197
If we subtract 5061 from 5630, we get 569.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5690, and continue the process.

Going ahead to step 12:
When dividing 5690 by 723, we get 7 with a remainder of 629.
Use 7 as the next digit of our solution. 
Result so far: 48120.1977
If we subtract 5061 from 5690, we get 629.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6290, and continue the process.

The quotient of the division is 48120.1977, and the remainder is 0.00629.