584129 divided by 37 
We're looking to find how many times 37 goes into 584129.

Step 1:
When dividing 5 by 37, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (8) of the dividend behind the 5 and repeat the process: 58 / 37

Moving on to step 2:
58 divided by 37 is 1 with a remainder of 21.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 37 from 58 to get 21.
Fetch the next digit (4) from the dividend, attach it to 21 and continue: 214 / 37

Going ahead to step 3:
The number 37 fits into 214 5 times, leaving a remainder of 29.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we subtract 185 from 214, we get 29.
Include the next digit (1) from the dividend after 29, then repeat: 291 / 37

Let's proceed to step 4:
37 goes into 291 7 times with a remainder of 32.
Put 7 as the next digit of the answer. 
Result so far: 157.0
If we subtract 259 from 291, we get 32.
Append the next digit (2) from the dividend to 32 and continue with: 322 / 37

Step 5:
The number 37 fits into 322 8 times, leaving a remainder of 26.
The next digit of our result is 8. 
Result so far: 1578.0
Deduct 296 from 322 and we're left with 26.
Take the next digit (9) from the dividend and append it to 26, then repeat: 269 / 37

Advancing to step 6:
The number 37 fits into 269 7 times, leaving a remainder of 10.
Put 7 as the next digit of the answer. 
Result so far: 15787.0
Subtracting 259 from 269 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
When dividing 100 by 37, we get 2 with a remainder of 26.
The next digit of our result is 2. 
Result so far: 15787.2
Subtract 74 from 100 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 8:
37 can be fit into 260 7 times, resulting in a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 15787.27
Deduct 259 from 260 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 9:
If we divide 10 by 37, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 15787.27
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
100 divided by 37 is 2 with a remainder of 26.
Write down 2 as next digit of the result. 
Result so far: 15787.2702
If we take 74 away from 100, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 11:
When dividing 260 by 37, we get 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 15787.27027
The remainder is 1 after subtracting 259 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 12:
When dividing 10 by 37, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 15787.27027
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 13:
37 goes into 100 2 times with a remainder of 26.
Write down 2 as next digit of the result. 
Result so far: 15787.2702702
If we take 74 away from 100, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 14:
If we divide 260 by 37, we get 7 and a remainder of 1.
The next digit of our result is 7. 
Result so far: 15787.27027027
Subtract 259 from 260 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

In conclusion, the division gives 15787.27027027 with a balance of 1e-09.