581461 ÷ 95 
Our goal is to divide 581461 by 95.

Advancing to step 1:
5 divided by 95 is 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 95

Let's proceed to step 2:
If we divide 58 by 95, we get 0 and a remainder of 58.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 58, we get 58.
Fetch the next digit (1) from the dividend, attach it to 58 and continue: 581 / 95

On to step 3:
The number 95 fits into 581 6 times, leaving a remainder of 11.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 570 from 581 leaves us with 11.
Fetch the next digit (4) from the dividend, attach it to 11 and continue: 114 / 95

Going ahead to step 4:
95 can be fit into 114 1 times, resulting in a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 61.0
The remainder is 19 after subtracting 95 from 114.
Bring next digit (6) of the dividend behind the 19 and repeat the process: 196 / 95

Let's proceed to step 5:
The number 95 fits into 196 2 times, leaving a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 612.0
If we subtract 190 from 196, we get 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 95

On to step 6:
95 can be fit into 61 0 times, resulting in a remainder of 61.
Put 0 as the next digit of the answer. 
Result so far: 6120.0
Subtract 0 from 61 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 7:
If we divide 610 by 95, we get 6 and a remainder of 40.
Write down 6 as next digit of the result. 
Result so far: 6120.6
Subtracting 570 from 610 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.

Step 8:
400 divided by 95 is 4 with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 6120.64
If we take 380 away from 400, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
The number 95 fits into 200 2 times, leaving a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 6120.642
The remainder is 10 after subtracting 190 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
If we divide 100 by 95, we get 1 and a remainder of 5.
The next digit of our result is 1. 
Result so far: 6120.6421
Subtract 95 from 100 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 11:
If we divide 50 by 95, we get 0 and a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 6120.6421
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 12:
The number 95 fits into 500 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 6120.642105
Subtract 475 from 500 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 13:
The number 95 fits into 250 2 times, leaving a remainder of 60.
Write down 2 as next digit of the result. 
Result so far: 6120.6421052
The remainder is 60 after subtracting 190 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 14:
95 goes into 600 6 times with a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 6120.64210526
If we subtract 570 from 600, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 6120.64210526 with a remainder of 3e-08.