11261 ÷ 45 
Let's see how many times 45 fits into 11261.

Let's proceed to step 1:
45 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 45

On to step 2:
11 divided by 45 is 0 with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 45

Advancing to step 3:
45 goes into 112 2 times with a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 90 away from 112, we end up with 22.
Grab the next digit (6) from the dividend, add it to 22, then carry on: 226 / 45

Step 4:
When dividing 226 by 45, we get 5 with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 25.0
Deduct 225 from 226 and we're left with 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 45

Moving on to step 5:
11 divided by 45 is 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 250.0
If we take 0 away from 11, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 6:
45 can be fit into 110 2 times, resulting in a remainder of 20.
Record the quotient 2 as the next digit in the result. 
Result so far: 250.2
The remainder is 20 after subtracting 90 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 7:
200 divided by 45 is 4 with a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 250.24
Subtracting 180 from 200 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
200 divided by 45 is 4 with a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 250.244
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 250.244, with a leftover of 0.002.