We look at the division of 261406 by 45 
Our goal is to divide 261406 by 45.

Going ahead to step 1:
45 can be fit into 2 0 times, resulting in a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 45

On to step 2:
26 divided by 45 is 0 with a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 26 and we're left with 26.
Grab the next digit (1) from the dividend, add it to 26, then carry on: 261 / 45

Let's proceed to step 3:
45 goes into 261 5 times with a remainder of 36.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 225 from 261 leaves us with 36.
Append the next digit (4) from the dividend to 36 and continue with: 364 / 45

Let's proceed to step 4:
The number 45 fits into 364 8 times, leaving a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 58.0
The remainder is 4 after subtracting 360 from 364.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 45

Going ahead to step 5:
If we divide 40 by 45, we get 0 and a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 580.0
If we subtract 0 from 40, we get 40.
Grab the next digit (6) from the dividend, add it to 40, then carry on: 406 / 45

Advancing to step 6:
45 can be fit into 406 9 times, resulting in a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 5809.0
Deduct 405 from 406 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
10 divided by 45 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 5809.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
45 goes into 100 2 times with a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 5809.02
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
45 goes into 100 2 times with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 5809.022
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Our division results in 5809.022 with a remaining 0.001.