Let's divide 113398 by 71
We're looking to find how many times 71 goes into 113398.

Advancing to step 1:
When dividing 1 by 71, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 71

On to step 2:
71 goes into 11 0 times with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 71

Going ahead to step 3:
When dividing 113 by 71, we get 1 with a remainder of 42.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 71 from 113 to get 42.
Bring next digit (3) of the dividend behind the 42 and repeat the process: 423 / 71

On to step 4:
71 can be fit into 423 5 times, resulting in a remainder of 68.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Deduct 355 from 423 and we're left with 68.
Grab the next digit (9) from the dividend, add it to 68, then carry on: 689 / 71

Let's proceed to step 5:
The number 71 fits into 689 9 times, leaving a remainder of 50.
The number 9 becomes the next digit in our result. 
Result so far: 159.0
If we subtract 639 from 689, we get 50.
Fetch the next digit (8) from the dividend, attach it to 50 and continue: 508 / 71

Step 6:
When dividing 508 by 71, we get 7 with a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 1597.0
The remainder is 11 after subtracting 497 from 508.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 7:
The number 71 fits into 110 1 times, leaving a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 1597.1
Subtracting 71 from 110 leaves us with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 8:
71 goes into 390 5 times with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 1597.15
The remainder is 35 after subtracting 355 from 390.
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 9:
71 can be fit into 350 4 times, resulting in a remainder of 66.
The next digit of our result is 4. 
Result so far: 1597.154
Subtracting 284 from 350 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 10:
71 can be fit into 660 9 times, resulting in a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 1597.1549
If we subtract 639 from 660, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 11:
The number 71 fits into 210 2 times, leaving a remainder of 68.
Write down 2 as next digit of the result. 
Result so far: 1597.15492
Deduct 142 from 210 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 12:
When dividing 680 by 71, we get 9 with a remainder of 41.
Write down 9 as next digit of the result. 
Result so far: 1597.154929
If we subtract 639 from 680, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 13:
71 can be fit into 410 5 times, resulting in a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 1597.1549295
Subtracting 355 from 410 leaves us 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.

On to step 14:
71 can be fit into 550 7 times, resulting in a remainder of 53.
Record the quotient 7 as the next digit in the result. 
Result so far: 1597.15492957
If we take 497 away from 550, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

The final result is 1597.15492957 with a remainder of 5.3e-08.