We look at the division of 368414 by 52 
We want to divide 368414 by 52.

Let's proceed to step 1:
52 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 52

Moving on to step 2:
52 goes into 36 0 times with a remainder of 36.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 36 and we're left with 36.
Append the next digit (8) from the dividend to 36 and continue with: 368 / 52

Let's proceed to step 3:
The number 52 fits into 368 7 times, leaving a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtract 364 from 368 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 52

Advancing to step 4:
44 divided by 52 is 0 with a remainder of 44.
Record the quotient 0 as the next digit in the result. 
Result so far: 70.0
Subtract 0 from 44 to get 44.
Fetch the next digit (1) from the dividend, attach it to 44 and continue: 441 / 52

Moving on to step 5:
52 goes into 441 8 times with a remainder of 25.
Record the quotient 8 as the next digit in the result. 
Result so far: 708.0
The remainder is 25 after subtracting 416 from 441.
Grab the next digit (4) from the dividend, add it to 25, then carry on: 254 / 52

Let's proceed to step 6:
52 can be fit into 254 4 times, resulting in a remainder of 46.
The number 4 becomes the next digit in our result. 
Result so far: 7084.0
Deduct 208 from 254 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.

Moving on 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: 7084.8
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.

Going ahead to step 8:
The number 52 fits into 440 8 times, leaving a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 7084.88
Subtract 416 from 440 to get 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 quotient of the division is 7084.88, and the remainder is 0.024.