We're dividing 137262 by 35 
We want to figure out the number of times 137262 can be divided by 35.

On to step 1:
35 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 35

Moving on to step 2:
The number 35 fits into 13 0 times, leaving a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Take the next digit (7) from the dividend and append it to 13, then repeat: 137 / 35

Advancing to step 3:
The number 35 fits into 137 3 times, leaving a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 105 from 137, we get 32.
Include the next digit (2) from the dividend after 32, then repeat: 322 / 35

Moving on to step 4:
The number 35 fits into 322 9 times, leaving a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 39.0
If we take 315 away from 322, we end up with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 35

On to step 5:
When dividing 76 by 35, we get 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 392.0
Deduct 70 from 76 and we're left with 6.
Bring next digit (2) of the dividend behind the 6 and repeat the process: 62 / 35

Moving on to step 6:
35 can be fit into 62 1 times, resulting in a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 3921.0
Subtracting 35 from 62 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 7:
35 can be fit into 270 7 times, resulting in a remainder of 25.
The next digit of our result is 7. 
Result so far: 3921.7
Subtract 245 from 270 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 8:
35 goes into 250 7 times with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 3921.77
Subtracting 245 from 250 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

In conclusion, the division gives 3921.77 with a balance of 0.005.