We look at the division of 18268302 by 953 
We want to divide 18268302 by 953.

Going ahead to step 1:
When dividing 1 by 953, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 953

Let's proceed to step 2:
If we divide 18 by 953, we get 0 and a remainder of 18.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 18 and we're left with 18.
Grab the next digit (2) from the dividend, add it to 18, then carry on: 182 / 953

Moving on to step 3:
The number 953 fits into 182 0 times, leaving a remainder of 182.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 182 to get 182.
Bring next digit (6) of the dividend behind the 182 and repeat the process: 1826 / 953

Moving on to step 4:
953 goes into 1826 1 times with a remainder of 873.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 953 from 1826 leaves us with 873.
Bring next digit (8) of the dividend behind the 873 and repeat the process: 8738 / 953

Advancing to step 5:
953 goes into 8738 9 times with a remainder of 161.
Use 9 as the next digit of our solution. 
Result so far: 19.0
Deduct 8577 from 8738 and we're left with 161.
Take the next digit (3) from the dividend and append it to 161, then repeat: 1613 / 953

Let's proceed to step 6:
The number 953 fits into 1613 1 times, leaving a remainder of 660.
Record the quotient 1 as the next digit in the result. 
Result so far: 191.0
Deduct 953 from 1613 and we're left with 660.
Grab the next digit (0) from the dividend, add it to 660, then carry on: 6600 / 953

Step 7:
953 goes into 6600 6 times with a remainder of 882.
Use 6 as the next digit of our solution. 
Result so far: 1916.0
If we subtract 5718 from 6600, we get 882.
Grab the next digit (2) from the dividend, add it to 882, then carry on: 8822 / 953

Let's proceed to step 8:
8822 divided by 953 is 9 with a remainder of 245.
The next digit of our result is 9. 
Result so far: 19169.0
The remainder is 245 after subtracting 8577 from 8822.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2450, and continue the process.

Moving on to step 9:
When dividing 2450 by 953, we get 2 with a remainder of 544.
The next digit of our result is 2. 
Result so far: 19169.2
If we take 1906 away from 2450, we end up with 544.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5440, and continue the process.

Going ahead to step 10:
When dividing 5440 by 953, we get 5 with a remainder of 675.
Put 5 as the next digit of the answer. 
Result so far: 19169.25
The remainder is 675 after subtracting 4765 from 5440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6750, and continue the process.

Let's proceed to step 11:
953 goes into 6750 7 times with a remainder of 79.
Record the quotient 7 as the next digit in the result. 
Result so far: 19169.257
Subtract 6671 from 6750 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Let's proceed to step 12:
953 can be fit into 790 0 times, resulting in a remainder of 790.
Put 0 as the next digit of the answer. 
Result so far: 19169.257
Subtract 0 from 790 to get 790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7900, and continue the process.

Step 13:
7900 divided by 953 is 8 with a remainder of 276.
Use 8 as the next digit of our solution. 
Result so far: 19169.25708
If we take 7624 away from 7900, we end up with 276.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2760, and continue the process.

On to step 14:
When dividing 2760 by 953, we get 2 with a remainder of 854.
Put 2 as the next digit of the answer. 
Result so far: 19169.257082
Subtracting 1906 from 2760 leaves us with 854.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8540, and continue the process.

On to step 15:
953 goes into 8540 8 times with a remainder of 916.
Use 8 as the next digit of our solution. 
Result so far: 19169.2570828
The remainder is 916 after subtracting 7624 from 8540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9160, and continue the process.

Step 16:
953 goes into 9160 9 times with a remainder of 583.
Put 9 as the next digit of the answer. 
Result so far: 19169.25708289
If we subtract 8577 from 9160, we get 583.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5830, and continue the process.

After the division, we end up with 19169.25708289 and a remainder of 5.83e-07.