76221 ÷ 52 
We want to divide 76221 by 52.

Advancing to step 1:
52 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 52

Moving on to step 2:
If we divide 76 by 52, we get 1 and a remainder of 24.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 52 from 76 to get 24.
Take the next digit (2) from the dividend and append it to 24, then repeat: 242 / 52

Moving on to step 3:
The number 52 fits into 242 4 times, leaving a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
The remainder is 34 after subtracting 208 from 242.
Fetch the next digit (2) from the dividend, attach it to 34 and continue: 342 / 52

Moving on to step 4:
342 divided by 52 is 6 with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 146.0
If we take 312 away from 342, we end up with 30.
Take the next digit (1) from the dividend and append it to 30, then repeat: 301 / 52

On to step 5:
When dividing 301 by 52, we get 5 with a remainder of 41.
The next digit of our result is 5. 
Result so far: 1465.0
Subtract 260 from 301 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 6:
52 can be fit into 410 7 times, resulting in a remainder of 46.
Put 7 as the next digit of the answer. 
Result so far: 1465.7
Deduct 364 from 410 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 7:
When dividing 460 by 52, we get 8 with a remainder of 44.
Write down 8 as next digit of the result. 
Result so far: 1465.78
Deduct 416 from 460 and we're left 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.

Step 8:
If we divide 440 by 52, we get 8 and a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 1465.788
If we take 416 away from 440, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final result is 1465.788 with a remainder of 0.0024.