Let's divide 151906 by 65
Our goal is to divide 151906 by 65.

On to step 1:
If we divide 1 by 65, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 65

Let's proceed to step 2:
15 divided by 65 is 0 with a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Include the next digit (1) from the dividend after 15, then repeat: 151 / 65

Let's proceed to step 3:
The number 65 fits into 151 2 times, leaving a remainder of 21.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 130 from 151 leaves us with 21.
Include the next digit (9) from the dividend after 21, then repeat: 219 / 65

Step 4:
65 can be fit into 219 3 times, resulting in a remainder of 24.
The number 3 becomes the next digit in our result. 
Result so far: 23.0
Deduct 195 from 219 and we're left with 24.
Append the next digit (0) from the dividend to 24 and continue with: 240 / 65

On to step 5:
If we divide 240 by 65, we get 3 and a remainder of 45.
The number 3 becomes the next digit in our result. 
Result so far: 233.0
If we subtract 195 from 240, we get 45.
Take the next digit (6) from the dividend and append it to 45, then repeat: 456 / 65

Going ahead to step 6:
The number 65 fits into 456 7 times, leaving a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 2337.0
Deduct 455 from 456 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
65 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 2337.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
65 goes into 100 1 times with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 2337.01
If we subtract 65 from 100, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 9:
When dividing 350 by 65, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 2337.015
Deduct 325 from 350 and we're left with 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 10:
The number 65 fits into 250 3 times, leaving a remainder of 55.
The next digit of our result is 3. 
Result so far: 2337.0153
Subtract 195 from 250 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 11:
The number 65 fits into 550 8 times, leaving a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 2337.01538
If we take 520 away from 550, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 12:
300 divided by 65 is 4 with a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 2337.015384
Subtracting 260 from 300 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 13:
The number 65 fits into 400 6 times, leaving a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 2337.0153846
The remainder is 10 after subtracting 390 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 14:
If we divide 100 by 65, we get 1 and a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 2337.01538461
The remainder is 35 after subtracting 65 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

In conclusion, the division gives 2337.01538461 with a balance of 3.5e-08.