18722513 ÷ 953 
Our goal is to divide 18722513 by 953.

Advancing to step 1:
If we divide 1 by 953, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 953

Going ahead to step 2:
953 goes into 18 0 times with a remainder of 18.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 18 after subtracting 0 from 18.
Include the next digit (7) from the dividend after 18, then repeat: 187 / 953

Advancing to step 3:
If we divide 187 by 953, we get 0 and a remainder of 187.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 187, we get 187.
Include the next digit (2) from the dividend after 187, then repeat: 1872 / 953

Step 4:
953 can be fit into 1872 1 times, resulting in a remainder of 919.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 953 from 1872 and we're left with 919.
Include the next digit (2) from the dividend after 919, then repeat: 9192 / 953

Step 5:
If we divide 9192 by 953, we get 9 and a remainder of 615.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
If we take 8577 away from 9192, we end up with 615.
Bring next digit (5) of the dividend behind the 615 and repeat the process: 6155 / 953

Moving on to step 6:
6155 divided by 953 is 6 with a remainder of 437.
The next digit of our result is 6. 
Result so far: 196.0
Deduct 5718 from 6155 and we're left with 437.
Append the next digit (1) from the dividend to 437 and continue with: 4371 / 953

Going ahead to step 7:
The number 953 fits into 4371 4 times, leaving a remainder of 559.
The number 4 becomes the next digit in our result. 
Result so far: 1964.0
If we subtract 3812 from 4371, we get 559.
Bring next digit (3) of the dividend behind the 559 and repeat the process: 5593 / 953

Advancing to step 8:
The number 953 fits into 5593 5 times, leaving a remainder of 828.
Write down 5 as next digit of the result. 
Result so far: 19645.0
The remainder is 828 after subtracting 4765 from 5593.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8280, and continue the process.

Moving on to step 9:
8280 divided by 953 is 8 with a remainder of 656.
Write down 8 as next digit of the result. 
Result so far: 19645.8
The remainder is 656 after subtracting 7624 from 8280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6560, and continue the process.

Advancing to step 10:
If we divide 6560 by 953, we get 6 and a remainder of 842.
Use 6 as the next digit of our solution. 
Result so far: 19645.86
If we subtract 5718 from 6560, we get 842.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8420, and continue the process.

Moving on to step 11:
If we divide 8420 by 953, we get 8 and a remainder of 796.
Record the quotient 8 as the next digit in the result. 
Result so far: 19645.868
Deduct 7624 from 8420 and we're left with 796.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7960, and continue the process.

Advancing to step 12:
953 can be fit into 7960 8 times, resulting in a remainder of 336.
The next digit of our result is 8. 
Result so far: 19645.8688
Deduct 7624 from 7960 and we're left with 336.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3360, and continue the process.

The final outcome is 19645.8688, with a leftover of 0.00336.