We look at the division of 566457 by 37 
We're looking to find how many times 37 goes into 566457.

Going ahead to step 1:
37 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
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

On to step 2:
The number 37 fits into 56 1 times, leaving a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 37 from 56 leaves us with 19.
Fetch the next digit (6) from the dividend, attach it to 19 and continue: 196 / 37

Step 3:
37 goes into 196 5 times with a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
Subtract 185 from 196 to get 11.
Fetch the next digit (4) from the dividend, attach it to 11 and continue: 114 / 37

Step 4:
114 divided by 37 is 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 153.0
Subtract 111 from 114 to get 3.
Bring next digit (5) of the dividend behind the 3 and repeat the process: 35 / 37

On to step 5:
When dividing 35 by 37, we get 0 with a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 1530.0
If we take 0 away from 35, we end up with 35.
Include the next digit (7) from the dividend after 35, then repeat: 357 / 37

Step 6:
357 divided by 37 is 9 with a remainder of 24.
The next digit of our result is 9. 
Result so far: 15309.0
Subtract 333 from 357 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 7:
The number 37 fits into 240 6 times, leaving a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 15309.6
If we take 222 away from 240, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 8:
When dividing 180 by 37, we get 4 with a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 15309.64
If we take 148 away from 180, we end up 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 9:
320 divided by 37 is 8 with a remainder of 24.
The next digit of our result is 8. 
Result so far: 15309.648
The remainder is 24 after subtracting 296 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 10:
If we divide 240 by 37, we get 6 and a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 15309.6486
If we take 222 away from 240, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 11:
180 divided by 37 is 4 with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 15309.64864
If we subtract 148 from 180, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 12:
320 divided by 37 is 8 with a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 15309.648648
The remainder is 24 after subtracting 296 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 13:
If we divide 240 by 37, we get 6 and a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 15309.6486486
If we take 222 away from 240, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 14:
180 divided by 37 is 4 with a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 15309.64864864
Subtract 148 from 180 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final outcome is 15309.64864864, with a leftover of 3.2e-08.