388308 ÷ 53 
We want to figure out the number of times 388308 can be divided by 53.

Advancing to step 1:
The number 53 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 53

On to step 2:
The number 53 fits into 38 0 times, leaving a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 38 after subtracting 0 from 38.
Include the next digit (8) from the dividend after 38, then repeat: 388 / 53

Going ahead to step 3:
53 can be fit into 388 7 times, resulting in a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 17 after subtracting 371 from 388.
Bring next digit (3) of the dividend behind the 17 and repeat the process: 173 / 53

Advancing to step 4:
53 goes into 173 3 times with a remainder of 14.
Use 3 as the next digit of our solution. 
Result so far: 73.0
Deduct 159 from 173 and we're left with 14.
Bring next digit (0) of the dividend behind the 14 and repeat the process: 140 / 53

Let's proceed to step 5:
When dividing 140 by 53, we get 2 with a remainder of 34.
Write down 2 as next digit of the result. 
Result so far: 732.0
Subtract 106 from 140 to get 34.
Bring next digit (8) of the dividend behind the 34 and repeat the process: 348 / 53

Advancing to step 6:
53 can be fit into 348 6 times, resulting in a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 7326.0
Subtract 318 from 348 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.

Let's proceed to step 7:
53 goes into 300 5 times with a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 7326.5
The remainder is 35 after subtracting 265 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
When dividing 350 by 53, we get 6 with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 7326.56
If we take 318 away from 350, we end up 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.

Step 9:
If we divide 320 by 53, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 7326.566
Subtract 318 from 320 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The quotient of the division is 7326.566, and the remainder is 0.0002.