10141 ÷ 65 
Our goal is to divide 10141 by 65.

Let's proceed to step 1:
65 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 65

Going ahead to step 2:
65 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 65

Advancing to step 3:
101 divided by 65 is 1 with a remainder of 36.
The next digit of our result is 1. 
Result so far: 1.0
If we take 65 away from 101, we end up with 36.
Grab the next digit (4) from the dividend, add it to 36, then carry on: 364 / 65

Going ahead to step 4:
65 goes into 364 5 times with a remainder of 39.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
Subtract 325 from 364 to get 39.
Fetch the next digit (1) from the dividend, attach it to 39 and continue: 391 / 65

Let's proceed to step 5:
If we divide 391 by 65, we get 6 and a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 156.0
Subtract 390 from 391 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 6:
If we divide 10 by 65, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 156.0
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.

Going ahead to step 7:
100 divided by 65 is 1 with a remainder of 35.
Put 1 as the next digit of the answer. 
Result so far: 156.01
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.

On to step 8:
When dividing 350 by 65, we get 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 156.015
The remainder is 25 after subtracting 325 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 9:
65 can be fit into 250 3 times, resulting in a remainder of 55.
Put 3 as the next digit of the answer. 
Result so far: 156.0153
If we take 195 away from 250, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 10:
65 can be fit into 550 8 times, resulting in a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 156.01538
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.

Let's proceed to step 11:
If we divide 300 by 65, we get 4 and a remainder of 40.
The next digit of our result is 4. 
Result so far: 156.015384
If we subtract 260 from 300, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 12:
400 divided by 65 is 6 with a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 156.0153846
Subtracting 390 from 400 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.

Step 13:
When dividing 100 by 65, we get 1 with a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 156.01538461
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.

The final result is 156.01538461 with a remainder of 3.5e-08.