13437 ÷ 41 
We're looking to find how many times 41 goes into 13437.

Step 1:
41 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 41

On to step 2:
When dividing 13 by 41, we get 0 with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Fetch the next digit (4) from the dividend, attach it to 13 and continue: 134 / 41

Let's proceed to step 3:
When dividing 134 by 41, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 123 from 134 leaves us with 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 41

On to step 4:
The number 41 fits into 113 2 times, leaving a remainder of 31.
Write down 2 as next digit of the result. 
Result so far: 32.0
The remainder is 31 after subtracting 82 from 113.
Grab the next digit (7) from the dividend, add it to 31, then carry on: 317 / 41

Moving on to step 5:
The number 41 fits into 317 7 times, leaving a remainder of 30.
The next digit of our result is 7. 
Result so far: 327.0
Subtract 287 from 317 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.

Advancing to step 6:
300 divided by 41 is 7 with a remainder of 13.
Put 7 as the next digit of the answer. 
Result so far: 327.7
If we take 287 away from 300, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
When dividing 130 by 41, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 327.73
Subtracting 123 from 130 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 8:
The number 41 fits into 70 1 times, leaving a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 327.731
Deduct 41 from 70 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 9:
41 can be fit into 290 7 times, resulting in a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 327.7317
If we subtract 287 from 290, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 10:
When dividing 30 by 41, we get 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 327.7317
Subtracting 0 from 30 leaves us with 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 11:
When dividing 300 by 41, we get 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 327.731707
Deduct 287 from 300 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 12:
If we divide 130 by 41, we get 3 and a remainder of 7.
The next digit of our result is 3. 
Result so far: 327.7317073
The remainder is 7 after subtracting 123 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 13:
If we divide 70 by 41, we get 1 and a remainder of 29.
The next digit of our result is 1. 
Result so far: 327.73170731
Subtracting 41 from 70 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Our division results in 327.73170731 with a remaining 2.9e-08.