We look at the division of 585437 by 39 
We want to divide 585437 by 39.

Let's proceed to step 1:
When dividing 5 by 39, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 39

Going ahead to step 2:
When dividing 58 by 39, we get 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 19 after subtracting 39 from 58.
Bring next digit (5) of the dividend behind the 19 and repeat the process: 195 / 39

On to step 3:
39 can be fit into 195 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we subtract 195 from 195, we get 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 39

On to step 4:
4 divided by 39 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 150.0
If we subtract 0 from 4, we get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 39

Advancing to step 5:
39 can be fit into 43 1 times, resulting in a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1501.0
Deduct 39 from 43 and we're left with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 39

Moving on to step 6:
39 goes into 47 1 times with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 15011.0
The remainder is 8 after subtracting 39 from 47.
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 7:
The number 39 fits into 80 2 times, leaving a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 15011.2
If we subtract 78 from 80, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
When dividing 20 by 39, we get 0 with a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 15011.2
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
39 can be fit into 200 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 15011.205
The remainder is 5 after subtracting 195 from 200.
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 10:
When dividing 50 by 39, we get 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 15011.2051
If we subtract 39 from 50, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 11:
If we divide 110 by 39, we get 2 and a remainder of 32.
Use 2 as the next digit of our solution. 
Result so far: 15011.20512
Subtracting 78 from 110 leaves us 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.

Advancing to step 12:
39 can be fit into 320 8 times, resulting in a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 15011.205128
If we take 312 away from 320, 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.

Moving on to step 13:
80 divided by 39 is 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 15011.2051282
Subtract 78 from 80 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 14:
When dividing 20 by 39, we get 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 15011.2051282
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final outcome is 15011.2051282, with a leftover of 2e-08.