9137 divided by 6 
We want to figure out the number of times 9137 can be divided by 6.

Let's proceed to step 1:
9 divided by 6 is 1 with a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 3 after subtracting 6 from 9.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 6

Let's proceed to step 2:
If we divide 31 by 6, we get 5 and a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Deduct 30 from 31 and we're left with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 6

Advancing to step 3:
If we divide 13 by 6, we get 2 and a remainder of 1.
The next digit of our result is 2. 
Result so far: 152.0
If we subtract 12 from 13, we get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 6

Going ahead to step 4:
6 goes into 17 2 times with a remainder of 5.
The next digit of our result is 2. 
Result so far: 1522.0
The remainder is 5 after subtracting 12 from 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 5:
If we divide 50 by 6, we get 8 and a remainder of 2.
The next digit of our result is 8. 
Result so far: 1522.8
The remainder is 2 after subtracting 48 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 6:
When dividing 20 by 6, we get 3 with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 1522.83
Subtract 18 from 20 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 7:
6 goes into 20 3 times with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 1522.833
If we subtract 18 from 20, 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.

Our division results in 1522.833 with a remaining 0.0002.