261466 ÷ 561 
We want to figure out the number of times 261466 can be divided by 561.

On to step 1:
When dividing 2 by 561, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Grab the next digit (6) from the dividend, add it to 2, then carry on: 26 / 561

Advancing to step 2:
When dividing 26 by 561, we get 0 with a remainder of 26.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 26 leaves us with 26.
Append the next digit (1) from the dividend to 26 and continue with: 261 / 561

On to step 3:
The number 561 fits into 261 0 times, leaving a remainder of 261.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 261 to get 261.
Fetch the next digit (4) from the dividend, attach it to 261 and continue: 2614 / 561

Moving on to step 4:
561 goes into 2614 4 times with a remainder of 370.
The next digit of our result is 4. 
Result so far: 4.0
If we subtract 2244 from 2614, we get 370.
Fetch the next digit (6) from the dividend, attach it to 370 and continue: 3706 / 561

Going ahead to step 5:
If we divide 3706 by 561, we get 6 and a remainder of 340.
Record the quotient 6 as the next digit in the result. 
Result so far: 46.0
If we subtract 3366 from 3706, we get 340.
Take the next digit (6) from the dividend and append it to 340, then repeat: 3406 / 561

Step 6:
3406 divided by 561 is 6 with a remainder of 40.
Put 6 as the next digit of the answer. 
Result so far: 466.0
Subtract 3366 from 3406 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.

On to step 7:
561 goes into 400 0 times with a remainder of 400.
Use 0 as the next digit of our solution. 
Result so far: 466.0
The remainder is 400 after subtracting 0 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

Step 8:
4000 divided by 561 is 7 with a remainder of 73.
Use 7 as the next digit of our solution. 
Result so far: 466.07
If we take 3927 away from 4000, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

On to step 9:
When dividing 730 by 561, we get 1 with a remainder of 169.
Write down 1 as next digit of the result. 
Result so far: 466.071
Subtracting 561 from 730 leaves us with 169.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1690, and continue the process.

On to step 10:
When dividing 1690 by 561, we get 3 with a remainder of 7.
The next digit of our result is 3. 
Result so far: 466.0713
If we subtract 1683 from 1690, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 11:
561 can be fit into 70 0 times, resulting in a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 466.0713
Subtracting 0 from 70 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Advancing to step 12:
561 can be fit into 700 1 times, resulting in a remainder of 139.
Use 1 as the next digit of our solution. 
Result so far: 466.071301
If we subtract 561 from 700, we get 139.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1390, and continue the process.

Step 13:
If we divide 1390 by 561, we get 2 and a remainder of 268.
Write down 2 as next digit of the result. 
Result so far: 466.0713012
Subtracting 1122 from 1390 leaves us with 268.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2680, and continue the process.

Let's proceed to step 14:
561 goes into 2680 4 times with a remainder of 436.
Record the quotient 4 as the next digit in the result. 
Result so far: 466.07130124
Subtracting 2244 from 2680 leaves us with 436.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4360, and continue the process.

In conclusion, the division gives 466.07130124 with a balance of 4.36e-07.