We look at the division of 589767 by 37 
We want to divide 589767 by 37.

Moving on to step 1:
5 divided by 37 is 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.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 37

Moving on to step 2:
When dividing 58 by 37, we get 1 with a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 37 away from 58, we end up with 21.
Grab the next digit (9) from the dividend, add it to 21, then carry on: 219 / 37

Let's proceed to step 3:
37 goes into 219 5 times with a remainder of 34.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we take 185 away from 219, we end up with 34.
Include the next digit (7) from the dividend after 34, then repeat: 347 / 37

Moving on to step 4:
37 goes into 347 9 times with a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 159.0
If we subtract 333 from 347, we get 14.
Fetch the next digit (6) from the dividend, attach it to 14 and continue: 146 / 37

Moving on to step 5:
The number 37 fits into 146 3 times, leaving a remainder of 35.
Record the quotient 3 as the next digit in the result. 
Result so far: 1593.0
Subtract 111 from 146 to get 35.
Fetch the next digit (7) from the dividend, attach it to 35 and continue: 357 / 37

Advancing to step 6:
When dividing 357 by 37, we get 9 with a remainder of 24.
Use 9 as the next digit of our solution. 
Result so far: 15939.0
Deduct 333 from 357 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 7:
When dividing 240 by 37, we get 6 with a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 15939.6
The remainder is 18 after subtracting 222 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
37 can be fit into 180 4 times, resulting in a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 15939.64
Subtracting 148 from 180 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 9:
The number 37 fits into 320 8 times, leaving a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 15939.648
If we take 296 away from 320, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
37 can be fit into 240 6 times, resulting in a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 15939.6486
Subtract 222 from 240 to get 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 11:
When dividing 180 by 37, we get 4 with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 15939.64864
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.

Let's proceed to step 12:
If we divide 320 by 37, we get 8 and a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 15939.648648
If we take 296 away from 320, we end up with 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 13:
37 can be fit into 240 6 times, resulting in a remainder of 18.
The next digit of our result is 6. 
Result so far: 15939.6486486
If we subtract 222 from 240, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 14:
37 goes into 180 4 times with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 15939.64864864
Subtracting 148 from 180 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.

The final result is 15939.64864864 with a remainder of 3.2e-08.