We're dividing 413589 by 37 
Our goal is to divide 413589 by 37.

On to step 1:
37 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 37

On to step 2:
37 can be fit into 41 1 times, resulting in a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 4 after subtracting 37 from 41.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 37

Advancing to step 3:
37 goes into 43 1 times with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 11.0
Deduct 37 from 43 and we're left with 6.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 37

On to step 4:
When dividing 65 by 37, we get 1 with a remainder of 28.
Write down 1 as next digit of the result. 
Result so far: 111.0
The remainder is 28 after subtracting 37 from 65.
Take the next digit (8) from the dividend and append it to 28, then repeat: 288 / 37

Step 5:
37 goes into 288 7 times with a remainder of 29.
The next digit of our result is 7. 
Result so far: 1117.0
The remainder is 29 after subtracting 259 from 288.
Bring next digit (9) of the dividend behind the 29 and repeat the process: 299 / 37

Step 6:
37 goes into 299 8 times with a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 11178.0
Subtracting 296 from 299 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 7:
37 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 11178.0
The remainder is 30 after subtracting 0 from 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 8:
300 divided by 37 is 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 11178.08
The remainder is 4 after subtracting 296 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
The number 37 fits into 40 1 times, leaving a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 11178.081
The remainder is 3 after subtracting 37 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 10:
The number 37 fits into 30 0 times, leaving a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 11178.081
Deduct 0 from 30 and we're left 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.

Going ahead to step 11:
37 can be fit into 300 8 times, resulting in a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 11178.08108
The remainder is 4 after subtracting 296 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 12:
If we divide 40 by 37, we get 1 and a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 11178.081081
If we take 37 away from 40, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 13:
37 can be fit into 30 0 times, resulting in a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 11178.081081
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 14:
37 can be fit into 300 8 times, resulting in a remainder of 4.
The next digit of our result is 8. 
Result so far: 11178.08108108
If we take 296 away from 300, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 11178.08108108 with a balance of 4e-09.