We're dividing 276591 by 10 
Let's see how many times 10 fits into 276591.

On to step 1:
When dividing 2 by 10, we get 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 10

Moving on to step 2:
10 goes into 27 2 times with a remainder of 7.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Subtracting 20 from 27 leaves us with 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 10

Let's proceed to step 3:
If we divide 76 by 10, we get 7 and a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 27.0
Subtracting 70 from 76 leaves us with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 10

Let's proceed to step 4:
65 divided by 10 is 6 with a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 276.0
Subtracting 60 from 65 leaves us with 5.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 10

On to step 5:
10 goes into 59 5 times with a remainder of 9.
Record the quotient 5 as the next digit in the result. 
Result so far: 2765.0
Subtract 50 from 59 to get 9.
Fetch the next digit (1) from the dividend, attach it to 9 and continue: 91 / 10

Moving on to step 6:
When dividing 91 by 10, we get 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 27659.0
If we take 90 away from 91, we end up 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.

Advancing to step 7:
If we divide 10 by 10, we get 1 and a remainder of 0.
The next digit of our result is 1. 
Result so far: 27659.1
Deduct 10 from 10 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
0 divided by 10 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 27659.1
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 9:
If we divide 0 by 10, we get 0 and a remainder of 0.
The next digit of our result is 0. 
Result so far: 27659.1
If we subtract 0 from 0, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

After the division, we end up with 27659.1 and a remainder of 0.0.