697535 ÷ 53 
We want to figure out the number of times 697535 can be divided by 53.

On to step 1:
53 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 53

Step 2:
53 goes into 69 1 times with a remainder of 16.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 53 from 69 to get 16.
Grab the next digit (7) from the dividend, add it to 16, then carry on: 167 / 53

On to step 3:
167 divided by 53 is 3 with a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 13.0
The remainder is 8 after subtracting 159 from 167.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 53

On to step 4:
If we divide 85 by 53, we get 1 and a remainder of 32.
Put 1 as the next digit of the answer. 
Result so far: 131.0
The remainder is 32 after subtracting 53 from 85.
Grab the next digit (3) from the dividend, add it to 32, then carry on: 323 / 53

On to step 5:
If we divide 323 by 53, we get 6 and a remainder of 5.
The next digit of our result is 6. 
Result so far: 1316.0
Subtract 318 from 323 to get 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 53

Advancing to step 6:
53 can be fit into 55 1 times, resulting in a remainder of 2.
The next digit of our result is 1. 
Result so far: 13161.0
If we take 53 away from 55, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 7:
53 can be fit into 20 0 times, resulting in a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 13161.0
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
200 divided by 53 is 3 with a remainder of 41.
The number 3 becomes the next digit in our result. 
Result so far: 13161.03
Deduct 159 from 200 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 9:
410 divided by 53 is 7 with a remainder of 39.
Write down 7 as next digit of the result. 
Result so far: 13161.037
If we subtract 371 from 410, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 10:
390 divided by 53 is 7 with a remainder of 19.
Write down 7 as next digit of the result. 
Result so far: 13161.0377
If we take 371 away from 390, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The final outcome is 13161.0377, with a leftover of 0.00019.