11189223 ÷ 201 
We're looking to find how many times 201 goes into 11189223.

Step 1:
201 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 201

Let's proceed to step 2:
The number 201 fits into 11 0 times, leaving a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 201

Step 3:
201 can be fit into 111 0 times, resulting in a remainder of 111.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 111 to get 111.
Fetch the next digit (8) from the dividend, attach it to 111 and continue: 1118 / 201

Advancing to step 4:
If we divide 1118 by 201, we get 5 and a remainder of 113.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 1005 from 1118 and we're left with 113.
Take the next digit (9) from the dividend and append it to 113, then repeat: 1139 / 201

Moving on to step 5:
1139 divided by 201 is 5 with a remainder of 134.
Write down 5 as next digit of the result. 
Result so far: 55.0
Subtract 1005 from 1139 to get 134.
Bring next digit (2) of the dividend behind the 134 and repeat the process: 1342 / 201

Step 6:
The number 201 fits into 1342 6 times, leaving a remainder of 136.
Put 6 as the next digit of the answer. 
Result so far: 556.0
Subtracting 1206 from 1342 leaves us with 136.
Grab the next digit (2) from the dividend, add it to 136, then carry on: 1362 / 201

Step 7:
The number 201 fits into 1362 6 times, leaving a remainder of 156.
The number 6 becomes the next digit in our result. 
Result so far: 5566.0
Deduct 1206 from 1362 and we're left with 156.
Include the next digit (3) from the dividend after 156, then repeat: 1563 / 201

Let's proceed to step 8:
201 goes into 1563 7 times with a remainder of 156.
Put 7 as the next digit of the answer. 
Result so far: 55667.0
Subtract 1407 from 1563 to get 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Advancing to step 9:
1560 divided by 201 is 7 with a remainder of 153.
Record the quotient 7 as the next digit in the result. 
Result so far: 55667.7
Subtract 1407 from 1560 to get 153.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1530, and continue the process.

Moving on to step 10:
201 goes into 1530 7 times with a remainder of 123.
Write down 7 as next digit of the result. 
Result so far: 55667.77
Subtracting 1407 from 1530 leaves us with 123.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1230, and continue the process.

The final result is 55667.77 with a remainder of 0.123.