We're dividing 498134 by 37 
We want to divide 498134 by 37.

Advancing to step 1:
4 divided by 37 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 37

Step 2:
If we divide 49 by 37, we get 1 and a remainder of 12.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 37 from 49, we get 12.
Append the next digit (8) from the dividend to 12 and continue with: 128 / 37

Step 3:
When dividing 128 by 37, we get 3 with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Deduct 111 from 128 and we're left with 17.
Append the next digit (1) from the dividend to 17 and continue with: 171 / 37

Let's proceed to step 4:
If we divide 171 by 37, we get 4 and a remainder of 23.
Use 4 as the next digit of our solution. 
Result so far: 134.0
Subtract 148 from 171 to get 23.
Grab the next digit (3) from the dividend, add it to 23, then carry on: 233 / 37

Moving on to step 5:
When dividing 233 by 37, we get 6 with a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 1346.0
If we take 222 away from 233, we end up with 11.
Include the next digit (4) from the dividend after 11, then repeat: 114 / 37

Going ahead to step 6:
The number 37 fits into 114 3 times, leaving a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 13463.0
If we subtract 111 from 114, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 7:
37 goes into 30 0 times with a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 13463.0
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
300 divided by 37 is 8 with a remainder of 4.
The next digit of our result is 8. 
Result so far: 13463.08
Deduct 296 from 300 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
When dividing 40 by 37, we get 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 13463.081
The remainder is 3 after subtracting 37 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 10:
37 goes into 30 0 times with a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 13463.081
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 11:
37 can be fit into 300 8 times, resulting in a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 13463.08108
Subtracting 296 from 300 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 12:
37 can be fit into 40 1 times, resulting in a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 13463.081081
If we take 37 away from 40, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 13:
The number 37 fits into 30 0 times, leaving a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 13463.081081
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 14:
If we divide 300 by 37, we get 8 and a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 13463.08108108
Subtract 296 from 300 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 13463.08108108 with a balance of 4e-09.