We're dividing 542634 by 37 
We want to divide 542634 by 37.

Step 1:
37 can be fit into 5 0 times, resulting in a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Include the next digit (4) from the dividend after 5, then repeat: 54 / 37

Let's proceed to step 2:
The number 37 fits into 54 1 times, leaving a remainder of 17.
The next digit of our result is 1. 
Result so far: 1.0
If we take 37 away from 54, we end up with 17.
Bring next digit (2) of the dividend behind the 17 and repeat the process: 172 / 37

Going ahead to step 3:
The number 37 fits into 172 4 times, leaving a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 14.0
Subtracting 148 from 172 leaves us with 24.
Take the next digit (6) from the dividend and append it to 24, then repeat: 246 / 37

Let's proceed to step 4:
If we divide 246 by 37, we get 6 and a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 146.0
The remainder is 24 after subtracting 222 from 246.
Grab the next digit (3) from the dividend, add it to 24, then carry on: 243 / 37

Advancing to step 5:
243 divided by 37 is 6 with a remainder of 21.
Record the quotient 6 as the next digit in the result. 
Result so far: 1466.0
The remainder is 21 after subtracting 222 from 243.
Take the next digit (4) from the dividend and append it to 21, then repeat: 214 / 37

Step 6:
214 divided by 37 is 5 with a remainder of 29.
Put 5 as the next digit of the answer. 
Result so far: 14665.0
If we take 185 away from 214, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 7:
290 divided by 37 is 7 with a remainder of 31.
Put 7 as the next digit of the answer. 
Result so far: 14665.7
Deduct 259 from 290 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 8:
When dividing 310 by 37, we get 8 with a remainder of 14.
Write down 8 as next digit of the result. 
Result so far: 14665.78
If we subtract 296 from 310, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 9:
When dividing 140 by 37, we get 3 with a remainder of 29.
The number 3 becomes the next digit in our result. 
Result so far: 14665.783
Subtracting 111 from 140 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 10:
When dividing 290 by 37, we get 7 with a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 14665.7837
The remainder is 31 after subtracting 259 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 11:
If we divide 310 by 37, we get 8 and a remainder of 14.
The next digit of our result is 8. 
Result so far: 14665.78378
If we subtract 296 from 310, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 12:
If we divide 140 by 37, we get 3 and a remainder of 29.
Use 3 as the next digit of our solution. 
Result so far: 14665.783783
Deduct 111 from 140 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 13:
If we divide 290 by 37, we get 7 and a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 14665.7837837
If we subtract 259 from 290, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 14:
When dividing 310 by 37, we get 8 with a remainder of 14.
The next digit of our result is 8. 
Result so far: 14665.78378378
Deduct 296 from 310 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 14665.78378378 with a remainder of 1.4e-08.