901010 ÷ 71 
Our goal is to divide 901010 by 71.

Step 1:
71 can be fit into 9 0 times, resulting in a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (0) from the dividend, attach it to 9 and continue: 90 / 71

Going ahead to step 2:
The number 71 fits into 90 1 times, leaving a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 71 from 90 leaves us with 19.
Bring next digit (1) of the dividend behind the 19 and repeat the process: 191 / 71

Going ahead to step 3:
71 goes into 191 2 times with a remainder of 49.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Subtracting 142 from 191 leaves us with 49.
Bring next digit (0) of the dividend behind the 49 and repeat the process: 490 / 71

Advancing to step 4:
490 divided by 71 is 6 with a remainder of 64.
The next digit of our result is 6. 
Result so far: 126.0
Deduct 426 from 490 and we're left with 64.
Fetch the next digit (1) from the dividend, attach it to 64 and continue: 641 / 71

Let's proceed to step 5:
641 divided by 71 is 9 with a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 1269.0
Deduct 639 from 641 and we're left with 2.
Bring next digit (0) of the dividend behind the 2 and repeat the process: 20 / 71

Moving on to step 6:
If we divide 20 by 71, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 12690.0
If we take 0 away from 20, we end up 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 71 is 2 with a remainder of 58.
Put 2 as the next digit of the answer. 
Result so far: 12690.2
Subtracting 142 from 200 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 8:
580 divided by 71 is 8 with a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 12690.28
If we take 568 away from 580, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
71 can be fit into 120 1 times, resulting in a remainder of 49.
Write down 1 as next digit of the result. 
Result so far: 12690.281
If we take 71 away from 120, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 10:
71 can be fit into 490 6 times, resulting in a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 12690.2816
If we take 426 away from 490, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 11:
71 can be fit into 640 9 times, resulting in a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 12690.28169
Subtracting 639 from 640 leaves us 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.

On to step 12:
71 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 12690.28169
If we take 0 away from 10, we end up 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.

Advancing to step 13:
100 divided by 71 is 1 with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 12690.2816901
Subtracting 71 from 100 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 14:
290 divided by 71 is 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 12690.28169014
Deduct 284 from 290 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 12690.28169014 with a balance of 6e-09.