565938 ÷ 37 
We're looking to find how many times 37 goes into 565938.

Moving on to step 1:
When dividing 5 by 37, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (6) from the dividend, attach it to 5 and continue: 56 / 37

Step 2:
56 divided by 37 is 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 19 after subtracting 37 from 56.
Fetch the next digit (5) from the dividend, attach it to 19 and continue: 195 / 37

Let's proceed to step 3:
The number 37 fits into 195 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 15.0
The remainder is 10 after subtracting 185 from 195.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 37

Moving on to step 4:
37 goes into 109 2 times with a remainder of 35.
Record the quotient 2 as the next digit in the result. 
Result so far: 152.0
Subtract 74 from 109 to get 35.
Include the next digit (3) from the dividend after 35, then repeat: 353 / 37

Moving on to step 5:
37 can be fit into 353 9 times, resulting in a remainder of 20.
The next digit of our result is 9. 
Result so far: 1529.0
Subtract 333 from 353 to get 20.
Fetch the next digit (8) from the dividend, attach it to 20 and continue: 208 / 37

Moving on to step 6:
When dividing 208 by 37, we get 5 with a remainder of 23.
The number 5 becomes the next digit in our result. 
Result so far: 15295.0
Subtracting 185 from 208 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 7:
37 goes into 230 6 times with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 15295.6
If we take 222 away from 230, we end up 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.

Step 8:
When dividing 80 by 37, we get 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 15295.62
If we subtract 74 from 80, we 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.

On to step 9:
60 divided by 37 is 1 with a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 15295.621
Subtracting 37 from 60 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

On to step 10:
230 divided by 37 is 6 with a remainder of 8.
Record the quotient 6 as the next digit in the result. 
Result so far: 15295.6216
If we take 222 away from 230, we end up 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.

Going ahead to step 11:
80 divided by 37 is 2 with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 15295.62162
If we subtract 74 from 80, we 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.

Going ahead to step 12:
The number 37 fits into 60 1 times, leaving a remainder of 23.
The next digit of our result is 1. 
Result so far: 15295.621621
The remainder is 23 after subtracting 37 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 13:
37 goes into 230 6 times with a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 15295.6216216
Subtract 222 from 230 to get 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 14:
If we divide 80 by 37, we get 2 and a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 15295.62162162
Subtracting 74 from 80 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 15295.62162162 with a balance of 6e-09.