803510 ÷ 53 
We're looking to find how many times 53 goes into 803510.

Let's proceed to step 1:
53 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 53

On to step 2:
53 goes into 80 1 times with a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 53 from 80 to get 27.
Grab the next digit (3) from the dividend, add it to 27, then carry on: 273 / 53

Step 3:
If we divide 273 by 53, we get 5 and a remainder of 8.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtracting 265 from 273 leaves us with 8.
Grab the next digit (5) from the dividend, add it to 8, then carry on: 85 / 53

Let's proceed to step 4:
If we divide 85 by 53, we get 1 and a remainder of 32.
Record the quotient 1 as the next digit in the result. 
Result so far: 151.0
If we subtract 53 from 85, we get 32.
Take the next digit (1) from the dividend and append it to 32, then repeat: 321 / 53

Let's proceed to step 5:
If we divide 321 by 53, we get 6 and a remainder of 3.
Record the quotient 6 as the next digit in the result. 
Result so far: 1516.0
Deduct 318 from 321 and we're left with 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 53

Let's proceed to step 6:
If we divide 30 by 53, we get 0 and a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 15160.0
Subtract 0 from 30 to 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.

Going ahead to step 7:
53 goes into 300 5 times with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 15160.5
If we take 265 away from 300, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Step 8:
If we divide 350 by 53, we get 6 and a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 15160.56
The remainder is 32 after subtracting 318 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 9:
The number 53 fits into 320 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 15160.566
If we subtract 318 from 320, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 15160.566, and the remainder is 0.0002.