53503 ÷ 58 
We want to figure out the number of times 53503 can be divided by 58.

Advancing to step 1:
58 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 58

On to step 2:
When dividing 53 by 58, we get 0 with a remainder of 53.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 53, we get 53.
Fetch the next digit (5) from the dividend, attach it to 53 and continue: 535 / 58

Moving on to step 3:
The number 58 fits into 535 9 times, leaving a remainder of 13.
Use 9 as the next digit of our solution. 
Result so far: 9.0
If we take 522 away from 535, we end up with 13.
Grab the next digit (0) from the dividend, add it to 13, then carry on: 130 / 58

Moving on to step 4:
The number 58 fits into 130 2 times, leaving a remainder of 14.
Record the quotient 2 as the next digit in the result. 
Result so far: 92.0
The remainder is 14 after subtracting 116 from 130.
Append the next digit (3) from the dividend to 14 and continue with: 143 / 58

Let's proceed to step 5:
58 goes into 143 2 times with a remainder of 27.
Put 2 as the next digit of the answer. 
Result so far: 922.0
Subtract 116 from 143 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 6:
270 divided by 58 is 4 with a remainder of 38.
The number 4 becomes the next digit in our result. 
Result so far: 922.4
Subtracting 232 from 270 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 7:
58 goes into 380 6 times with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 922.46
Deduct 348 from 380 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 8:
If we divide 320 by 58, we get 5 and a remainder of 30.
The next digit of our result is 5. 
Result so far: 922.465
Subtract 290 from 320 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.

On to step 9:
The number 58 fits into 300 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 922.4655
The remainder is 10 after subtracting 290 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final result is 922.4655 with a remainder of 0.0001.