We're dividing 953303 by 87 
We want to figure out the number of times 953303 can be divided by 87.

Going ahead to step 1:
87 can be fit into 9 0 times, resulting in a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 87

Going ahead to step 2:
87 goes into 95 1 times with a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 87 from 95 leaves us with 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 87

Advancing to step 3:
The number 87 fits into 83 0 times, leaving a remainder of 83.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 83 and we're left with 83.
Take the next digit (3) from the dividend and append it to 83, then repeat: 833 / 87

Step 4:
The number 87 fits into 833 9 times, leaving a remainder of 50.
Write down 9 as next digit of the result. 
Result so far: 109.0
Subtract 783 from 833 to get 50.
Take the next digit (0) from the dividend and append it to 50, then repeat: 500 / 87

Advancing to step 5:
The number 87 fits into 500 5 times, leaving a remainder of 65.
Write down 5 as next digit of the result. 
Result so far: 1095.0
If we subtract 435 from 500, we get 65.
Fetch the next digit (3) from the dividend, attach it to 65 and continue: 653 / 87

Step 6:
87 goes into 653 7 times with a remainder of 44.
Put 7 as the next digit of the answer. 
Result so far: 10957.0
Subtracting 609 from 653 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 7:
The number 87 fits into 440 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 10957.5
If we subtract 435 from 440, we 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.

Let's proceed to step 8:
When dividing 50 by 87, we get 0 with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 10957.5
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.

On to step 9:
500 divided by 87 is 5 with a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 10957.505
Deduct 435 from 500 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Let's proceed to step 10:
If we divide 650 by 87, we get 7 and a remainder of 41.
Use 7 as the next digit of our solution. 
Result so far: 10957.5057
The remainder is 41 after subtracting 609 from 650.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 11:
410 divided by 87 is 4 with a remainder of 62.
The next digit of our result is 4. 
Result so far: 10957.50574
Subtracting 348 from 410 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Going ahead to step 12:
When dividing 620 by 87, we get 7 with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 10957.505747
If we subtract 609 from 620, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 13:
87 can be fit into 110 1 times, resulting in a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 10957.5057471
Deduct 87 from 110 and we're left with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 14:
87 goes into 230 2 times with a remainder of 56.
The number 2 becomes the next digit in our result. 
Result so far: 10957.50574712
If we subtract 174 from 230, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Our division results in 10957.50574712 with a remaining 5.6e-08.