653602 ÷ 41 
We're looking to find how many times 41 goes into 653602.

Moving on to step 1:
The number 41 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 41

Moving on to step 2:
65 divided by 41 is 1 with a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 41 away from 65, we end up with 24.
Append the next digit (3) from the dividend to 24 and continue with: 243 / 41

Moving on to step 3:
243 divided by 41 is 5 with a remainder of 38.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we take 205 away from 243, we end up with 38.
Grab the next digit (6) from the dividend, add it to 38, then carry on: 386 / 41

Step 4:
If we divide 386 by 41, we get 9 and a remainder of 17.
The number 9 becomes the next digit in our result. 
Result so far: 159.0
Deduct 369 from 386 and we're left with 17.
Include the next digit (0) from the dividend after 17, then repeat: 170 / 41

Going ahead to step 5:
170 divided by 41 is 4 with a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 1594.0
If we subtract 164 from 170, we get 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 41

Advancing to step 6:
41 goes into 62 1 times with a remainder of 21.
The next digit of our result is 1. 
Result so far: 15941.0
The remainder is 21 after subtracting 41 from 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
41 goes into 210 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 15941.5
If we subtract 205 from 210, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
The number 41 fits into 50 1 times, leaving a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 15941.51
The remainder is 9 after subtracting 41 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 9:
41 goes into 90 2 times with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 15941.512
Deduct 82 from 90 and we're left 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.

Moving on to step 10:
If we divide 80 by 41, we get 1 and a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 15941.5121
If we take 41 away from 80, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 11:
41 goes into 390 9 times with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 15941.51219
If we subtract 369 from 390, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 12:
41 can be fit into 210 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 15941.512195
If we take 205 away from 210, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 13:
If we divide 50 by 41, we get 1 and a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 15941.5121951
If we take 41 away from 50, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 14:
41 can be fit into 90 2 times, resulting in a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 15941.51219512
Deduct 82 from 90 and we're left 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.

The final result is 15941.51219512 with a remainder of 8e-09.