261766 divided by 45 
We want to divide 261766 by 45.

Step 1:
When dividing 2 by 45, we get 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 45

Going ahead to step 2:
45 can be fit into 26 0 times, resulting in a remainder of 26.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 26 and we're left with 26.
Fetch the next digit (1) from the dividend, attach it to 26 and continue: 261 / 45

Going ahead to step 3:
261 divided by 45 is 5 with 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.
Bring next digit (7) of the dividend behind the 36 and repeat the process: 367 / 45

Step 4:
45 can be fit into 367 8 times, resulting in a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 58.0
Subtract 360 from 367 to get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 45

Advancing to step 5:
45 can be fit into 76 1 times, resulting in a remainder of 31.
Write down 1 as next digit of the result. 
Result so far: 581.0
Subtract 45 from 76 to get 31.
Grab the next digit (6) from the dividend, add it to 31, then carry on: 316 / 45

Let's proceed to step 6:
45 can be fit into 316 7 times, resulting in a remainder of 1.
The next digit of our result is 7. 
Result so far: 5817.0
Subtract 315 from 316 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 7:
45 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 5817.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
The number 45 fits into 100 2 times, leaving a remainder of 10.
The next digit of our result is 2. 
Result so far: 5817.02
If we take 90 away from 100, we end up 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.

On to step 9:
If we divide 100 by 45, we get 2 and a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 5817.022
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 5817.022, and the remainder is 0.001.