We look at the division of 187611 by 45 
We want to divide 187611 by 45.

Step 1:
1 divided by 45 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 45

On to step 2:
If we divide 18 by 45, we get 0 and a remainder of 18.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 18, we end up with 18.
Include the next digit (7) from the dividend after 18, then repeat: 187 / 45

On to step 3:
When dividing 187 by 45, we get 4 with a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 180 from 187, we get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 45

Moving on to step 4:
45 can be fit into 76 1 times, resulting in a remainder of 31.
The next digit of our result is 1. 
Result so far: 41.0
If we subtract 45 from 76, we get 31.
Grab the next digit (1) from the dividend, add it to 31, then carry on: 311 / 45

Going ahead to step 5:
311 divided by 45 is 6 with a remainder of 41.
Use 6 as the next digit of our solution. 
Result so far: 416.0
Deduct 270 from 311 and we're left with 41.
Append the next digit (1) from the dividend to 41 and continue with: 411 / 45

Moving on to step 6:
45 can be fit into 411 9 times, resulting in a remainder of 6.
The next digit of our result is 9. 
Result so far: 4169.0
If we take 405 away from 411, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 7:
60 divided by 45 is 1 with a remainder of 15.
The next digit of our result is 1. 
Result so far: 4169.1
Subtract 45 from 60 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 8:
The number 45 fits into 150 3 times, leaving a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 4169.13
If we take 135 away from 150, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 9:
150 divided by 45 is 3 with a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 4169.133
Deduct 135 from 150 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

After the division, we end up with 4169.133 and a remainder of 0.0015.