Let's divide 525603 by 5
Our goal is to divide 525603 by 5.

On to step 1:
The number 5 fits into 5 1 times, leaving a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 5 away from 5, we end up with 0.
Grab the next digit (2) from the dividend, add it to 0, then carry on: 2 / 5

Moving on to step 2:
The number 5 fits into 2 0 times, leaving a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 5

Step 3:
5 goes into 25 5 times with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
If we subtract 25 from 25, we get 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 5

Advancing to step 4:
The number 5 fits into 6 1 times, leaving a remainder of 1.
The next digit of our result is 1. 
Result so far: 1051.0
Subtracting 5 from 6 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 5

Advancing to step 5:
If we divide 10 by 5, we get 2 and a remainder of 0.
Write down 2 as next digit of the result. 
Result so far: 10512.0
If we take 10 away from 10, we end up with 0.
Bring next digit (3) of the dividend behind the 0 and repeat the process: 3 / 5

Step 6:
3 divided by 5 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 105120.0
Subtract 0 from 3 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
When dividing 30 by 5, we get 6 with a remainder of 0.
Use 6 as the next digit of our solution. 
Result so far: 105120.6
Deduct 30 from 30 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
When dividing 0 by 5, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 105120.6
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Step 9:
The number 5 fits into 0 0 times, leaving a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 105120.6
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 105120.6, with a leftover of 0.0.