91258 ÷ 71 
We want to divide 91258 by 71.

On to step 1:
9 divided by 71 is 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Append the next digit (1) from the dividend to 9 and continue with: 91 / 71

Advancing to step 2:
If we divide 91 by 71, we get 1 and a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 71 from 91 and we're left with 20.
Include the next digit (2) from the dividend after 20, then repeat: 202 / 71

On to step 3:
The number 71 fits into 202 2 times, leaving a remainder of 60.
The next digit of our result is 2. 
Result so far: 12.0
Subtract 142 from 202 to get 60.
Append the next digit (5) from the dividend to 60 and continue with: 605 / 71

Let's proceed to step 4:
71 can be fit into 605 8 times, resulting in a remainder of 37.
Use 8 as the next digit of our solution. 
Result so far: 128.0
If we subtract 568 from 605, we get 37.
Grab the next digit (8) from the dividend, add it to 37, then carry on: 378 / 71

Advancing to step 5:
If we divide 378 by 71, we get 5 and a remainder of 23.
The number 5 becomes the next digit in our result. 
Result so far: 1285.0
If we subtract 355 from 378, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 6:
71 can be fit into 230 3 times, resulting in a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 1285.3
Deduct 213 from 230 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 7:
When dividing 170 by 71, we get 2 with a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 1285.32
Subtract 142 from 170 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 8:
When dividing 280 by 71, we get 3 with a remainder of 67.
The next digit of our result is 3. 
Result so far: 1285.323
If we take 213 away from 280, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Let's proceed to step 9:
If we divide 670 by 71, we get 9 and a remainder of 31.
Put 9 as the next digit of the answer. 
Result so far: 1285.3239
Deduct 639 from 670 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 10:
If we divide 310 by 71, we get 4 and a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 1285.32394
If we take 284 away from 310, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 11:
If we divide 260 by 71, we get 3 and a remainder of 47.
The next digit of our result is 3. 
Result so far: 1285.323943
The remainder is 47 after subtracting 213 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 12:
The number 71 fits into 470 6 times, leaving a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 1285.3239436
If we subtract 426 from 470, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 13:
If we divide 440 by 71, we get 6 and a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 1285.32394366
If we take 426 away from 440, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Our division results in 1285.32394366 with a remaining 1.4e-08.