653613 ÷ 41 
We want to figure out the number of times 653613 can be divided by 41.

Going ahead to step 1:
When dividing 6 by 41, we get 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 41

Advancing to step 2:
If we divide 65 by 41, we get 1 and a remainder of 24.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 24 after subtracting 41 from 65.
Include the next digit (3) from the dividend after 24, then repeat: 243 / 41

On to step 3:
If we divide 243 by 41, we get 5 and a remainder of 38.
The next digit of our result is 5. 
Result so far: 15.0
The remainder is 38 after subtracting 205 from 243.
Take the next digit (6) from the dividend and append it to 38, then repeat: 386 / 41

Let's proceed to step 4:
If we divide 386 by 41, we get 9 and a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 159.0
Subtracting 369 from 386 leaves us with 17.
Take the next digit (1) from the dividend and append it to 17, then repeat: 171 / 41

Step 5:
171 divided by 41 is 4 with a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 1594.0
Subtract 164 from 171 to get 7.
Include the next digit (3) from the dividend after 7, then repeat: 73 / 41

Moving on to step 6:
41 goes into 73 1 times with a remainder of 32.
The number 1 becomes the next digit in our result. 
Result so far: 15941.0
The remainder is 32 after subtracting 41 from 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 7:
If we divide 320 by 41, we get 7 and a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 15941.7
Subtracting 287 from 320 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 8:
If we divide 330 by 41, we get 8 and a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 15941.78
Subtracting 328 from 330 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 9:
When dividing 20 by 41, we get 0 with a remainder of 20.
The next digit of our result is 0. 
Result so far: 15941.78
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
If we divide 200 by 41, we get 4 and a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 15941.7804
Deduct 164 from 200 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 11:
41 can be fit into 360 8 times, resulting in a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 15941.78048
Deduct 328 from 360 and we're left 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 12:
When dividing 320 by 41, we get 7 with a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 15941.780487
If we subtract 287 from 320, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 13:
The number 41 fits into 330 8 times, leaving a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 15941.7804878
Subtracting 328 from 330 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 14:
41 goes into 20 0 times with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 15941.7804878
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 15941.7804878, with a leftover of 2e-08.