13184225 ÷ 181 
Our goal is to divide 13184225 by 181.

Step 1:
181 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 181

Going ahead to step 2:
181 goes into 13 0 times with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Grab the next digit (1) from the dividend, add it to 13, then carry on: 131 / 181

Advancing to step 3:
When dividing 131 by 181, we get 0 with a remainder of 131.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 131 to get 131.
Append the next digit (8) from the dividend to 131 and continue with: 1318 / 181

Let's proceed to step 4:
The number 181 fits into 1318 7 times, leaving a remainder of 51.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtract 1267 from 1318 to get 51.
Fetch the next digit (4) from the dividend, attach it to 51 and continue: 514 / 181

On to step 5:
When dividing 514 by 181, we get 2 with a remainder of 152.
The number 2 becomes the next digit in our result. 
Result so far: 72.0
If we subtract 362 from 514, we get 152.
Grab the next digit (2) from the dividend, add it to 152, then carry on: 1522 / 181

Advancing to step 6:
181 can be fit into 1522 8 times, resulting in a remainder of 74.
Put 8 as the next digit of the answer. 
Result so far: 728.0
Subtracting 1448 from 1522 leaves us with 74.
Bring next digit (2) of the dividend behind the 74 and repeat the process: 742 / 181

Advancing to step 7:
When dividing 742 by 181, we get 4 with a remainder of 18.
The number 4 becomes the next digit in our result. 
Result so far: 7284.0
The remainder is 18 after subtracting 724 from 742.
Fetch the next digit (5) from the dividend, attach it to 18 and continue: 185 / 181

Going ahead to step 8:
181 can be fit into 185 1 times, resulting in a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 72841.0
Subtracting 181 from 185 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 9:
181 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 72841.0
Deduct 0 from 40 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.

Advancing to step 10:
If we divide 400 by 181, we get 2 and a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 72841.02
If we take 362 away from 400, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 11:
181 goes into 380 2 times with a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 72841.022
Subtract 362 from 380 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final outcome is 72841.022, with a leftover of 0.0018.