We look at the division of 153541 by 52 
We're looking to find how many times 52 goes into 153541.

Let's proceed to step 1:
If we divide 1 by 52, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 52

Moving on to step 2:
When dividing 15 by 52, we get 0 with a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Grab the next digit (3) from the dividend, add it to 15, then carry on: 153 / 52

Let's proceed to step 3:
52 can be fit into 153 2 times, resulting in a remainder of 49.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 104 from 153 and we're left with 49.
Include the next digit (5) from the dividend after 49, then repeat: 495 / 52

Moving on to step 4:
495 divided by 52 is 9 with a remainder of 27.
Put 9 as the next digit of the answer. 
Result so far: 29.0
Subtract 468 from 495 to get 27.
Take the next digit (4) from the dividend and append it to 27, then repeat: 274 / 52

Moving on to step 5:
If we divide 274 by 52, we get 5 and a remainder of 14.
Record the quotient 5 as the next digit in the result. 
Result so far: 295.0
If we take 260 away from 274, we end up with 14.
Bring next digit (1) of the dividend behind the 14 and repeat the process: 141 / 52

Advancing to step 6:
If we divide 141 by 52, we get 2 and a remainder of 37.
Use 2 as the next digit of our solution. 
Result so far: 2952.0
The remainder is 37 after subtracting 104 from 141.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 7:
370 divided by 52 is 7 with a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 2952.7
Subtract 364 from 370 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
52 can be fit into 60 1 times, resulting in a remainder of 8.
The next digit of our result is 1. 
Result so far: 2952.71
Subtracting 52 from 60 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
The number 52 fits into 80 1 times, leaving a remainder of 28.
Put 1 as the next digit of the answer. 
Result so far: 2952.711
Subtracting 52 from 80 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

The final result is 2952.711 with a remainder of 0.0028.