We're dividing 596533 by 37 
Our goal is to divide 596533 by 37.

Advancing to step 1:
5 divided by 37 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 37

Going ahead to step 2:
When dividing 59 by 37, we get 1 with a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 37 from 59 and we're left with 22.
Append the next digit (6) from the dividend to 22 and continue with: 226 / 37

Advancing to step 3:
226 divided by 37 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 16.0
The remainder is 4 after subtracting 222 from 226.
Take the next digit (5) from the dividend and append it to 4, then repeat: 45 / 37

Moving on to step 4:
45 divided by 37 is 1 with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 161.0
Subtract 37 from 45 to get 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 37

Let's proceed to step 5:
The number 37 fits into 83 2 times, leaving a remainder of 9.
The number 2 becomes the next digit in our result. 
Result so far: 1612.0
Subtract 74 from 83 to get 9.
Take the next digit (3) from the dividend and append it to 9, then repeat: 93 / 37

Going ahead to step 6:
When dividing 93 by 37, we get 2 with a remainder of 19.
Put 2 as the next digit of the answer. 
Result so far: 16122.0
The remainder is 19 after subtracting 74 from 93.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 7:
37 can be fit into 190 5 times, resulting in a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 16122.5
Deduct 185 from 190 and we're left 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.

On to step 8:
When dividing 50 by 37, we get 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 16122.51
Deduct 37 from 50 and we're left 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.

Advancing to step 9:
When dividing 130 by 37, we get 3 with a remainder of 19.
Write down 3 as next digit of the result. 
Result so far: 16122.513
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.

On to step 10:
If we divide 190 by 37, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 16122.5135
The remainder is 5 after subtracting 185 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 11:
37 goes into 50 1 times with a remainder of 13.
The next digit of our result is 1. 
Result so far: 16122.51351
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.

Step 12:
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: 16122.513513
Deduct 111 from 130 and we're left 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.

Advancing to step 13:
If we divide 190 by 37, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 16122.5135135
Subtracting 185 from 190 leaves us 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.

Advancing to step 14:
When dividing 50 by 37, we get 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 16122.51351351
Deduct 37 from 50 and we're left 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.

The final outcome is 16122.51351351, with a leftover of 1.3e-08.