950563 ÷ 87 
Our goal is to divide 950563 by 87.

Let's proceed to step 1:
87 can be fit into 9 0 times, resulting in a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 87

Step 2:
When dividing 95 by 87, we get 1 with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 87 from 95 leaves us with 8.
Grab the next digit (0) from the dividend, add it to 8, then carry on: 80 / 87

On to step 3:
If we divide 80 by 87, we get 0 and a remainder of 80.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 80 leaves us with 80.
Include the next digit (5) from the dividend after 80, then repeat: 805 / 87

Advancing to step 4:
87 goes into 805 9 times with a remainder of 22.
The number 9 becomes the next digit in our result. 
Result so far: 109.0
Subtracting 783 from 805 leaves us with 22.
Append the next digit (6) from the dividend to 22 and continue with: 226 / 87

Going ahead to step 5:
226 divided by 87 is 2 with a remainder of 52.
The next digit of our result is 2. 
Result so far: 1092.0
Subtract 174 from 226 to get 52.
Grab the next digit (3) from the dividend, add it to 52, then carry on: 523 / 87

Let's proceed to step 6:
The number 87 fits into 523 6 times, leaving a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 10926.0
If we subtract 522 from 523, we 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.

Moving on to step 7:
10 divided by 87 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 10926.0
The remainder is 10 after subtracting 0 from 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:
87 goes into 100 1 times with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 10926.01
If we take 87 away from 100, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 9:
87 goes into 130 1 times with a remainder of 43.
Record the quotient 1 as the next digit in the result. 
Result so far: 10926.011
If we subtract 87 from 130, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

After the division, we end up with 10926.011 and a remainder of 0.0043.