263703 ÷ 53 
We want to figure out the number of times 263703 can be divided by 53.

On to step 1:
The number 53 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 53

On to step 2:
The number 53 fits into 26 0 times, leaving a remainder of 26.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Fetch the next digit (3) from the dividend, attach it to 26 and continue: 263 / 53

Going ahead to step 3:
53 can be fit into 263 4 times, resulting in a remainder of 51.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
If we subtract 212 from 263, we get 51.
Bring next digit (7) of the dividend behind the 51 and repeat the process: 517 / 53

Moving on to step 4:
When dividing 517 by 53, we get 9 with a remainder of 40.
The number 9 becomes the next digit in our result. 
Result so far: 49.0
Deduct 477 from 517 and we're left with 40.
Bring next digit (0) of the dividend behind the 40 and repeat the process: 400 / 53

Going ahead to step 5:
If we divide 400 by 53, we get 7 and a remainder of 29.
Use 7 as the next digit of our solution. 
Result so far: 497.0
Deduct 371 from 400 and we're left with 29.
Fetch the next digit (3) from the dividend, attach it to 29 and continue: 293 / 53

Let's proceed to step 6:
293 divided by 53 is 5 with a remainder of 28.
The next digit of our result is 5. 
Result so far: 4975.0
If we subtract 265 from 293, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 7:
53 goes into 280 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 4975.5
Deduct 265 from 280 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 8:
53 can be fit into 150 2 times, resulting in a remainder of 44.
Use 2 as the next digit of our solution. 
Result so far: 4975.52
If we take 106 away from 150, we end up 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.

Moving on to step 9:
When dividing 440 by 53, we get 8 with a remainder of 16.
The next digit of our result is 8. 
Result so far: 4975.528
Deduct 424 from 440 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 10:
The number 53 fits into 160 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 4975.5283
Subtracting 159 from 160 leaves us 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.

Moving on to step 11:
If we divide 10 by 53, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 4975.5283
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 12:
The number 53 fits into 100 1 times, leaving a remainder of 47.
Write down 1 as next digit of the result. 
Result so far: 4975.528301
Deduct 53 from 100 and we're left with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 13:
The number 53 fits into 470 8 times, leaving a remainder of 46.
Put 8 as the next digit of the answer. 
Result so far: 4975.5283018
If we subtract 424 from 470, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 14:
If we divide 460 by 53, we get 8 and a remainder of 36.
Use 8 as the next digit of our solution. 
Result so far: 4975.52830188
The remainder is 36 after subtracting 424 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

After the division, we end up with 4975.52830188 and a remainder of 3.6e-08.