We're dividing 4221186 by 205 
Our goal is to divide 4221186 by 205.

Going ahead to step 1:
205 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 205

Advancing to step 2:
42 divided by 205 is 0 with a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Bring next digit (2) of the dividend behind the 42 and repeat the process: 422 / 205

Going ahead to step 3:
When dividing 422 by 205, we get 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 2.0
Subtract 410 from 422 to get 12.
Fetch the next digit (1) from the dividend, attach it to 12 and continue: 121 / 205

Advancing to step 4:
205 goes into 121 0 times with a remainder of 121.
The number 0 becomes the next digit in our result. 
Result so far: 20.0
Subtract 0 from 121 to get 121.
Fetch the next digit (1) from the dividend, attach it to 121 and continue: 1211 / 205

Step 5:
If we divide 1211 by 205, we get 5 and a remainder of 186.
Put 5 as the next digit of the answer. 
Result so far: 205.0
Subtracting 1025 from 1211 leaves us with 186.
Include the next digit (8) from the dividend after 186, then repeat: 1868 / 205

On to step 6:
The number 205 fits into 1868 9 times, leaving a remainder of 23.
The next digit of our result is 9. 
Result so far: 2059.0
Deduct 1845 from 1868 and we're left with 23.
Grab the next digit (6) from the dividend, add it to 23, then carry on: 236 / 205

Let's proceed to step 7:
205 goes into 236 1 times with a remainder of 31.
Record the quotient 1 as the next digit in the result. 
Result so far: 20591.0
The remainder is 31 after subtracting 205 from 236.
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 8:
When dividing 310 by 205, we get 1 with a remainder of 105.
The next digit of our result is 1. 
Result so far: 20591.1
Subtract 205 from 310 to get 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1050, and continue the process.

Advancing to step 9:
If we divide 1050 by 205, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 20591.15
Subtract 1025 from 1050 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 10:
250 divided by 205 is 1 with a remainder of 45.
The number 1 becomes the next digit in our result. 
Result so far: 20591.151
Deduct 205 from 250 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 11:
If we divide 450 by 205, we get 2 and a remainder of 40.
Use 2 as the next digit of our solution. 
Result so far: 20591.1512
Deduct 410 from 450 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 12:
400 divided by 205 is 1 with a remainder of 195.
The next digit of our result is 1. 
Result so far: 20591.15121
If we take 205 away from 400, we end up with 195.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1950, and continue the process.

Advancing to step 13:
1950 divided by 205 is 9 with a remainder of 105.
The number 9 becomes the next digit in our result. 
Result so far: 20591.151219
If we take 1845 away from 1950, we end up with 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1050, and continue the process.

Advancing to step 14:
205 can be fit into 1050 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 20591.1512195
Subtracting 1025 from 1050 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 15:
250 divided by 205 is 1 with a remainder of 45.
The next digit of our result is 1. 
Result so far: 20591.15121951
If we subtract 205 from 250, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

After the division, we end up with 20591.15121951 and a remainder of 4.5e-08.