20101831 ÷ 200 
We're looking to find how many times 200 goes into 20101831.

Going ahead to step 1:
The number 200 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
If we take 0 away from 2, we end up with 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 200

Going ahead to step 2:
200 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 20 to get 20.
Include the next digit (1) from the dividend after 20, then repeat: 201 / 200

Step 3:
If we divide 201 by 200, we get 1 and a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 200 from 201, we get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 200

Step 4:
200 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Deduct 0 from 10 and we're left with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 200

On to step 5:
101 divided by 200 is 0 with a remainder of 101.
Record the quotient 0 as the next digit in the result. 
Result so far: 100.0
Deduct 0 from 101 and we're left with 101.
Take the next digit (8) from the dividend and append it to 101, then repeat: 1018 / 200

Moving on to step 6:
If we divide 1018 by 200, we get 5 and a remainder of 18.
The number 5 becomes the next digit in our result. 
Result so far: 1005.0
If we subtract 1000 from 1018, we get 18.
Bring next digit (3) of the dividend behind the 18 and repeat the process: 183 / 200

Moving on to step 7:
When dividing 183 by 200, we get 0 with a remainder of 183.
Write down 0 as next digit of the result. 
Result so far: 10050.0
Subtract 0 from 183 to get 183.
Fetch the next digit (1) from the dividend, attach it to 183 and continue: 1831 / 200

On to step 8:
200 goes into 1831 9 times with a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 100509.0
The remainder is 31 after subtracting 1800 from 1831.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 9:
When dividing 310 by 200, we get 1 with a remainder of 110.
Put 1 as the next digit of the answer. 
Result so far: 100509.1
Subtracting 200 from 310 leaves us with 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

On to step 10:
1100 divided by 200 is 5 with a remainder of 100.
Record the quotient 5 as the next digit in the result. 
Result so far: 100509.15
Subtract 1000 from 1100 to get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

On to step 11:
1000 divided by 200 is 5 with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 100509.155
The remainder is 0 after subtracting 1000 from 1000.
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 100509.155 and a remainder of 0.0.