579543 divided by 37 
Our goal is to divide 579543 by 37.

Moving on to step 1:
When dividing 5 by 37, we get 0 with a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (7) from the dividend and append it to 5, then repeat: 57 / 37

Advancing to step 2:
The number 37 fits into 57 1 times, leaving a remainder of 20.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 20 after subtracting 37 from 57.
Grab the next digit (9) from the dividend, add it to 20, then carry on: 209 / 37

Going ahead to step 3:
The number 37 fits into 209 5 times, leaving a remainder of 24.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtract 185 from 209 to get 24.
Grab the next digit (5) from the dividend, add it to 24, then carry on: 245 / 37

On to step 4:
When dividing 245 by 37, we get 6 with a remainder of 23.
Use 6 as the next digit of our solution. 
Result so far: 156.0
If we take 222 away from 245, we end up with 23.
Include the next digit (4) from the dividend after 23, then repeat: 234 / 37

Going ahead to step 5:
If we divide 234 by 37, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 1566.0
The remainder is 12 after subtracting 222 from 234.
Grab the next digit (3) from the dividend, add it to 12, then carry on: 123 / 37

Step 6:
123 divided by 37 is 3 with a remainder of 12.
Record the quotient 3 as the next digit in the result. 
Result so far: 15663.0
Subtracting 111 from 123 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 7:
120 divided by 37 is 3 with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 15663.3
Subtracting 111 from 120 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 8:
90 divided by 37 is 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 15663.32
Subtracting 74 from 90 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 9:
If we divide 160 by 37, we get 4 and a remainder of 12.
The next digit of our result is 4. 
Result so far: 15663.324
If we take 148 away from 160, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 10:
37 can be fit into 120 3 times, resulting in a remainder of 9.
The next digit of our result is 3. 
Result so far: 15663.3243
Deduct 111 from 120 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 11:
37 can be fit into 90 2 times, resulting in a remainder of 16.
The next digit of our result is 2. 
Result so far: 15663.32432
If we take 74 away from 90, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 12:
The number 37 fits into 160 4 times, leaving a remainder of 12.
The next digit of our result is 4. 
Result so far: 15663.324324
If we subtract 148 from 160, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 13:
120 divided by 37 is 3 with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 15663.3243243
Subtract 111 from 120 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 14:
37 can be fit into 90 2 times, resulting in a remainder of 16.
The next digit of our result is 2. 
Result so far: 15663.32432432
Deduct 74 from 90 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

After the division, we end up with 15663.32432432 and a remainder of 1.6e-08.