113876 ÷ 97 
We're looking to find how many times 97 goes into 113876.

Advancing to step 1:
97 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 97

Step 2:
97 can be fit into 11 0 times, resulting in a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 11, we end up with 11.
Fetch the next digit (3) from the dividend, attach it to 11 and continue: 113 / 97

On to step 3:
113 divided by 97 is 1 with a remainder of 16.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 16 after subtracting 97 from 113.
Take the next digit (8) from the dividend and append it to 16, then repeat: 168 / 97

Going ahead to step 4:
When dividing 168 by 97, we get 1 with a remainder of 71.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtract 97 from 168 to get 71.
Bring next digit (7) of the dividend behind the 71 and repeat the process: 717 / 97

Going ahead to step 5:
When dividing 717 by 97, we get 7 with a remainder of 38.
Record the quotient 7 as the next digit in the result. 
Result so far: 117.0
Deduct 679 from 717 and we're left with 38.
Grab the next digit (6) from the dividend, add it to 38, then carry on: 386 / 97

On to step 6:
97 goes into 386 3 times with a remainder of 95.
The next digit of our result is 3. 
Result so far: 1173.0
If we take 291 away from 386, we end up with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Going ahead to step 7:
When dividing 950 by 97, we get 9 with a remainder of 77.
Put 9 as the next digit of the answer. 
Result so far: 1173.9
The remainder is 77 after subtracting 873 from 950.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

On to step 8:
The number 97 fits into 770 7 times, leaving a remainder of 91.
Put 7 as the next digit of the answer. 
Result so far: 1173.97
The remainder is 91 after subtracting 679 from 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Going ahead to step 9:
The number 97 fits into 910 9 times, leaving a remainder of 37.
Write down 9 as next digit of the result. 
Result so far: 1173.979
Subtract 873 from 910 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 10:
If we divide 370 by 97, we get 3 and a remainder of 79.
Use 3 as the next digit of our solution. 
Result so far: 1173.9793
If we take 291 away from 370, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Let's proceed to step 11:
When dividing 790 by 97, we get 8 with a remainder of 14.
Put 8 as the next digit of the answer. 
Result so far: 1173.97938
Subtract 776 from 790 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 12:
The number 97 fits into 140 1 times, leaving a remainder of 43.
The number 1 becomes the next digit in our result. 
Result so far: 1173.979381
The remainder is 43 after subtracting 97 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 13:
97 can be fit into 430 4 times, resulting in a remainder of 42.
Put 4 as the next digit of the answer. 
Result so far: 1173.9793814
Subtracting 388 from 430 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 14:
If we divide 420 by 97, we get 4 and a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 1173.97938144
Subtracting 388 from 420 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The quotient of the division is 1173.97938144, and the remainder is 3.2e-08.