Let's divide 581719 by 261
We want to figure out the number of times 581719 can be divided by 261.

Advancing to step 1:
5 divided by 261 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 261

Going ahead to step 2:
58 divided by 261 is 0 with a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 58 leaves us with 58.
Grab the next digit (1) from the dividend, add it to 58, then carry on: 581 / 261

Let's proceed to step 3:
The number 261 fits into 581 2 times, leaving a remainder of 59.
The next digit of our result is 2. 
Result so far: 2.0
If we take 522 away from 581, we end up with 59.
Include the next digit (7) from the dividend after 59, then repeat: 597 / 261

Going ahead to step 4:
The number 261 fits into 597 2 times, leaving a remainder of 75.
Record the quotient 2 as the next digit in the result. 
Result so far: 22.0
If we take 522 away from 597, we end up with 75.
Include the next digit (1) from the dividend after 75, then repeat: 751 / 261

On to step 5:
The number 261 fits into 751 2 times, leaving a remainder of 229.
The next digit of our result is 2. 
Result so far: 222.0
If we take 522 away from 751, we end up with 229.
Fetch the next digit (9) from the dividend, attach it to 229 and continue: 2299 / 261

Moving on to step 6:
When dividing 2299 by 261, we get 8 with a remainder of 211.
The next digit of our result is 8. 
Result so far: 2228.0
Subtract 2088 from 2299 to get 211.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2110, and continue the process.

Step 7:
2110 divided by 261 is 8 with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 2228.8
If we take 2088 away from 2110, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
The number 261 fits into 220 0 times, leaving a remainder of 220.
Write down 0 as next digit of the result. 
Result so far: 2228.8
If we take 0 away from 220, we end up with 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2200, and continue the process.

Let's proceed to step 9:
When dividing 2200 by 261, we get 8 with a remainder of 112.
Record the quotient 8 as the next digit in the result. 
Result so far: 2228.808
If we take 2088 away from 2200, we end up with 112.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1120, and continue the process.

Advancing to step 10:
When dividing 1120 by 261, we get 4 with a remainder of 76.
Put 4 as the next digit of the answer. 
Result so far: 2228.8084
Subtract 1044 from 1120 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 11:
The number 261 fits into 760 2 times, leaving a remainder of 238.
Put 2 as the next digit of the answer. 
Result so far: 2228.80842
Deduct 522 from 760 and we're left with 238.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2380, and continue the process.

Step 12:
The number 261 fits into 2380 9 times, leaving a remainder of 31.
Write down 9 as next digit of the result. 
Result so far: 2228.808429
Subtract 2349 from 2380 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 13:
261 goes into 310 1 times with a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 2228.8084291
Subtract 261 from 310 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 14:
261 goes into 490 1 times with a remainder of 229.
Use 1 as the next digit of our solution. 
Result so far: 2228.80842911
The remainder is 229 after subtracting 261 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2290, and continue the process.

In conclusion, the division gives 2228.80842911 with a balance of 2.29e-07.