We're dividing 137714 by 53 
We want to figure out the number of times 137714 can be divided by 53.

Step 1:
53 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 53

Moving on to step 2:
If we divide 13 by 53, we get 0 and a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Bring next digit (7) of the dividend behind the 13 and repeat the process: 137 / 53

Step 3:
137 divided by 53 is 2 with a remainder of 31.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 106 from 137 and we're left with 31.
Bring next digit (7) of the dividend behind the 31 and repeat the process: 317 / 53

On to step 4:
317 divided by 53 is 5 with a remainder of 52.
Put 5 as the next digit of the answer. 
Result so far: 25.0
Subtract 265 from 317 to get 52.
Append the next digit (1) from the dividend to 52 and continue with: 521 / 53

Moving on to step 5:
The number 53 fits into 521 9 times, leaving a remainder of 44.
Write down 9 as next digit of the result. 
Result so far: 259.0
If we subtract 477 from 521, we get 44.
Take the next digit (4) from the dividend and append it to 44, then repeat: 444 / 53

Advancing to step 6:
The number 53 fits into 444 8 times, leaving a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 2598.0
Deduct 424 from 444 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 7:
200 divided by 53 is 3 with a remainder of 41.
The next digit of our result is 3. 
Result so far: 2598.3
The remainder is 41 after subtracting 159 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 8:
53 can be fit into 410 7 times, resulting in a remainder of 39.
Write down 7 as next digit of the result. 
Result so far: 2598.37
If we subtract 371 from 410, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 9:
The number 53 fits into 390 7 times, leaving a remainder of 19.
Write down 7 as next digit of the result. 
Result so far: 2598.377
Subtract 371 from 390 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The final result is 2598.377 with a remainder of 0.0019.