Let's divide 13835871 by 970
We're looking to find how many times 970 goes into 13835871.

On to step 1:
The number 970 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 970

On to step 2:
13 divided by 970 is 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Take the next digit (8) from the dividend and append it to 13, then repeat: 138 / 970

On to step 3:
If we divide 138 by 970, we get 0 and a remainder of 138.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 138, we end up with 138.
Take the next digit (3) from the dividend and append it to 138, then repeat: 1383 / 970

Let's proceed to step 4:
970 goes into 1383 1 times with a remainder of 413.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 413 after subtracting 970 from 1383.
Take the next digit (5) from the dividend and append it to 413, then repeat: 4135 / 970

Moving on to step 5:
The number 970 fits into 4135 4 times, leaving a remainder of 255.
Write down 4 as next digit of the result. 
Result so far: 14.0
The remainder is 255 after subtracting 3880 from 4135.
Take the next digit (8) from the dividend and append it to 255, then repeat: 2558 / 970

Moving on to step 6:
970 goes into 2558 2 times with a remainder of 618.
The number 2 becomes the next digit in our result. 
Result so far: 142.0
If we take 1940 away from 2558, we end up with 618.
Take the next digit (7) from the dividend and append it to 618, then repeat: 6187 / 970

Advancing to step 7:
6187 divided by 970 is 6 with a remainder of 367.
Write down 6 as next digit of the result. 
Result so far: 1426.0
Subtracting 5820 from 6187 leaves us with 367.
Include the next digit (1) from the dividend after 367, then repeat: 3671 / 970

Moving on to step 8:
When dividing 3671 by 970, we get 3 with a remainder of 761.
Write down 3 as next digit of the result. 
Result so far: 14263.0
If we subtract 2910 from 3671, we get 761.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7610, and continue the process.

Let's proceed to step 9:
The number 970 fits into 7610 7 times, leaving a remainder of 820.
Put 7 as the next digit of the answer. 
Result so far: 14263.7
If we take 6790 away from 7610, we end up with 820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8200, and continue the process.

On to step 10:
The number 970 fits into 8200 8 times, leaving a remainder of 440.
The number 8 becomes the next digit in our result. 
Result so far: 14263.78
Subtract 7760 from 8200 to get 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

Step 11:
970 can be fit into 4400 4 times, resulting in a remainder of 520.
Write down 4 as next digit of the result. 
Result so far: 14263.784
If we subtract 3880 from 4400, we get 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5200, and continue the process.

Advancing to step 12:
If we divide 5200 by 970, we get 5 and a remainder of 350.
The number 5 becomes the next digit in our result. 
Result so far: 14263.7845
The remainder is 350 after subtracting 4850 from 5200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3500, and continue the process.

On to step 13:
3500 divided by 970 is 3 with a remainder of 590.
Put 3 as the next digit of the answer. 
Result so far: 14263.78453
If we take 2910 away from 3500, we end up with 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5900, and continue the process.

Going ahead to step 14:
970 can be fit into 5900 6 times, resulting in a remainder of 80.
Use 6 as the next digit of our solution. 
Result so far: 14263.784536
Subtracting 5820 from 5900 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 15:
970 goes into 800 0 times with a remainder of 800.
Write down 0 as next digit of the result. 
Result so far: 14263.784536
Subtracting 0 from 800 leaves us with 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8000, and continue the process.

On to step 16:
970 goes into 8000 8 times with a remainder of 240.
Write down 8 as next digit of the result. 
Result so far: 14263.78453608
Deduct 7760 from 8000 and we're left with 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

In conclusion, the division gives 14263.78453608 with a balance of 2.4e-07.