We look at the division of 25119237 by 137 
Let's see how many times 137 fits into 25119237.

On to step 1:
When dividing 2 by 137, we get 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 137

Going ahead to step 2:
25 divided by 137 is 0 with a remainder of 25.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Bring next digit (1) of the dividend behind the 25 and repeat the process: 251 / 137

On to step 3:
137 can be fit into 251 1 times, resulting in a remainder of 114.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 137 away from 251, we end up with 114.
Include the next digit (1) from the dividend after 114, then repeat: 1141 / 137

Step 4:
If we divide 1141 by 137, we get 8 and a remainder of 45.
The next digit of our result is 8. 
Result so far: 18.0
If we take 1096 away from 1141, we end up with 45.
Append the next digit (9) from the dividend to 45 and continue with: 459 / 137

On to step 5:
137 goes into 459 3 times with a remainder of 48.
The number 3 becomes the next digit in our result. 
Result so far: 183.0
Deduct 411 from 459 and we're left with 48.
Fetch the next digit (2) from the dividend, attach it to 48 and continue: 482 / 137

Advancing to step 6:
137 can be fit into 482 3 times, resulting in a remainder of 71.
Use 3 as the next digit of our solution. 
Result so far: 1833.0
Subtracting 411 from 482 leaves us with 71.
Fetch the next digit (3) from the dividend, attach it to 71 and continue: 713 / 137

Let's proceed to step 7:
When dividing 713 by 137, we get 5 with a remainder of 28.
The next digit of our result is 5. 
Result so far: 18335.0
Subtract 685 from 713 to get 28.
Include the next digit (7) from the dividend after 28, then repeat: 287 / 137

Advancing to step 8:
137 can be fit into 287 2 times, resulting in a remainder of 13.
Use 2 as the next digit of our solution. 
Result so far: 183352.0
Deduct 274 from 287 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.

On to step 9:
130 divided by 137 is 0 with a remainder of 130.
Record the quotient 0 as the next digit in the result. 
Result so far: 183352.0
Subtracting 0 from 130 leaves us with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Going ahead to step 10:
137 goes into 1300 9 times with a remainder of 67.
Record the quotient 9 as the next digit in the result. 
Result so far: 183352.09
If we take 1233 away from 1300, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Going ahead to step 11:
If we divide 670 by 137, we get 4 and a remainder of 122.
The next digit of our result is 4. 
Result so far: 183352.094
The remainder is 122 after subtracting 548 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1220, and continue the process.

On to step 12:
When dividing 1220 by 137, we get 8 with a remainder of 124.
Put 8 as the next digit of the answer. 
Result so far: 183352.0948
If we subtract 1096 from 1220, we get 124.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1240, and continue the process.

Let's proceed to step 13:
137 goes into 1240 9 times with a remainder of 7.
The next digit of our result is 9. 
Result so far: 183352.09489
Deduct 1233 from 1240 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 14:
137 goes into 70 0 times with a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 183352.09489
Subtracting 0 from 70 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 15:
700 divided by 137 is 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 183352.0948905
If we subtract 685 from 700, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 16:
137 goes into 150 1 times with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 183352.09489051
If we take 137 away from 150, 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.

The final result is 183352.09489051 with a remainder of 1.3e-08.