We look at the division of 582200 by 37 
We want to divide 582200 by 37.

On to step 1:
The number 37 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 37

Advancing to step 2:
The number 37 fits into 58 1 times, leaving a remainder of 21.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 37 away from 58, we end up with 21.
Grab the next digit (2) from the dividend, add it to 21, then carry on: 212 / 37

Moving on to step 3:
When dividing 212 by 37, we get 5 with a remainder of 27.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we take 185 away from 212, we end up with 27.
Grab the next digit (2) from the dividend, add it to 27, then carry on: 272 / 37

Step 4:
37 can be fit into 272 7 times, resulting in a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 157.0
Deduct 259 from 272 and we're left with 13.
Include the next digit (0) from the dividend after 13, then repeat: 130 / 37

Going ahead to step 5:
37 goes into 130 3 times with a remainder of 19.
Use 3 as the next digit of our solution. 
Result so far: 1573.0
The remainder is 19 after subtracting 111 from 130.
Append the next digit (0) from the dividend to 19 and continue with: 190 / 37

On to step 6:
The number 37 fits into 190 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 15735.0
If we take 185 away from 190, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 7:
If we divide 50 by 37, we get 1 and a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 15735.1
If we take 37 away from 50, 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 8:
The number 37 fits into 130 3 times, leaving a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 15735.13
Subtract 111 from 130 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 9:
190 divided by 37 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 15735.135
Subtract 185 from 190 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
37 goes into 50 1 times with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 15735.1351
The remainder is 13 after subtracting 37 from 50.
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 11:
37 goes into 130 3 times with a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 15735.13513
If we take 111 away from 130, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 12:
The number 37 fits into 190 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 15735.135135
If we subtract 185 from 190, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 13:
37 goes into 50 1 times with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 15735.1351351
Subtract 37 from 50 to get 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 14:
If we divide 130 by 37, we get 3 and a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 15735.13513513
If we take 111 away from 130, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

In conclusion, the division gives 15735.13513513 with a balance of 1.9e-08.