We look at the division of 261364 by 45 
We're looking to find how many times 45 goes into 261364.

Let's proceed to step 1:
If we divide 2 by 45, we get 0 and a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 45

Step 2:
45 goes into 26 0 times with a remainder of 26.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 26, we get 26.
Grab the next digit (1) from the dividend, add it to 26, then carry on: 261 / 45

Moving on to step 3:
If we divide 261 by 45, we get 5 and a remainder of 36.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we take 225 away from 261, we end up with 36.
Include the next digit (3) from the dividend after 36, then repeat: 363 / 45

Moving on to step 4:
If we divide 363 by 45, we get 8 and a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
Subtract 360 from 363 to get 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 45

Let's proceed to step 5:
45 can be fit into 36 0 times, resulting in a remainder of 36.
The number 0 becomes the next digit in our result. 
Result so far: 580.0
The remainder is 36 after subtracting 0 from 36.
Fetch the next digit (4) from the dividend, attach it to 36 and continue: 364 / 45

Step 6:
45 goes into 364 8 times with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 5808.0
If we take 360 away from 364, we end up 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.

Advancing to step 7:
The number 45 fits into 40 0 times, leaving a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 5808.0
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
The number 45 fits into 400 8 times, leaving a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 5808.08
Subtracting 360 from 400 leaves us 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.

On to step 9:
When dividing 400 by 45, we get 8 with a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 5808.088
Deduct 360 from 400 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.

In conclusion, the division gives 5808.088 with a balance of 0.004.