We look at the division of 23083359 by 951 
We're looking to find how many times 951 goes into 23083359.

On to step 1:
The number 951 fits into 2 0 times, leaving a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 951

Advancing to step 2:
23 divided by 951 is 0 with a remainder of 23.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 23 to get 23.
Append the next digit (0) from the dividend to 23 and continue with: 230 / 951

Advancing to step 3:
230 divided by 951 is 0 with a remainder of 230.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 230, we end up with 230.
Fetch the next digit (8) from the dividend, attach it to 230 and continue: 2308 / 951

Moving on to step 4:
The number 951 fits into 2308 2 times, leaving a remainder of 406.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 406 after subtracting 1902 from 2308.
Grab the next digit (3) from the dividend, add it to 406, then carry on: 4063 / 951

Moving on to step 5:
If we divide 4063 by 951, we get 4 and a remainder of 259.
Put 4 as the next digit of the answer. 
Result so far: 24.0
If we take 3804 away from 4063, we end up with 259.
Bring next digit (3) of the dividend behind the 259 and repeat the process: 2593 / 951

Advancing to step 6:
951 goes into 2593 2 times with a remainder of 691.
Use 2 as the next digit of our solution. 
Result so far: 242.0
Deduct 1902 from 2593 and we're left with 691.
Include the next digit (5) from the dividend after 691, then repeat: 6915 / 951

Step 7:
951 can be fit into 6915 7 times, resulting in a remainder of 258.
Use 7 as the next digit of our solution. 
Result so far: 2427.0
Subtracting 6657 from 6915 leaves us with 258.
Append the next digit (9) from the dividend to 258 and continue with: 2589 / 951

Step 8:
When dividing 2589 by 951, we get 2 with a remainder of 687.
Use 2 as the next digit of our solution. 
Result so far: 24272.0
Subtracting 1902 from 2589 leaves us with 687.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6870, and continue the process.

Moving on to step 9:
951 goes into 6870 7 times with a remainder of 213.
Use 7 as the next digit of our solution. 
Result so far: 24272.7
If we take 6657 away from 6870, we end up with 213.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2130, and continue the process.

Going ahead to step 10:
951 goes into 2130 2 times with a remainder of 228.
The number 2 becomes the next digit in our result. 
Result so far: 24272.72
Deduct 1902 from 2130 and we're left with 228.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2280, and continue the process.

Moving on to step 11:
The number 951 fits into 2280 2 times, leaving a remainder of 378.
Record the quotient 2 as the next digit in the result. 
Result so far: 24272.722
Subtracting 1902 from 2280 leaves us with 378.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3780, and continue the process.

The quotient of the division is 24272.722, and the remainder is 0.0378.