We're dividing 103682 by 76 
We're looking to find how many times 76 goes into 103682.

Advancing to step 1:
When dividing 1 by 76, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 76

Let's proceed to step 2:
10 divided by 76 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 76

Advancing to step 3:
When dividing 103 by 76, we get 1 with a remainder of 27.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 76 from 103 to get 27.
Include the next digit (6) from the dividend after 27, then repeat: 276 / 76

Let's proceed to step 4:
276 divided by 76 is 3 with a remainder of 48.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
The remainder is 48 after subtracting 228 from 276.
Take the next digit (8) from the dividend and append it to 48, then repeat: 488 / 76

On to step 5:
If we divide 488 by 76, we get 6 and a remainder of 32.
The next digit of our result is 6. 
Result so far: 136.0
Subtract 456 from 488 to get 32.
Append the next digit (2) from the dividend to 32 and continue with: 322 / 76

Let's proceed to step 6:
322 divided by 76 is 4 with a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 1364.0
If we subtract 304 from 322, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 7:
The number 76 fits into 180 2 times, leaving a remainder of 28.
The next digit of our result is 2. 
Result so far: 1364.2
The remainder is 28 after subtracting 152 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 8:
76 goes into 280 3 times with a remainder of 52.
Record the quotient 3 as the next digit in the result. 
Result so far: 1364.23
If we take 228 away from 280, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 9:
76 goes into 520 6 times with a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 1364.236
Subtract 456 from 520 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 10:
640 divided by 76 is 8 with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 1364.2368
Deduct 608 from 640 and we're left 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.

Advancing to step 11:
76 can be fit into 320 4 times, resulting in a remainder of 16.
The next digit of our result is 4. 
Result so far: 1364.23684
If we take 304 away from 320, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 12:
When dividing 160 by 76, we get 2 with a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 1364.236842
Subtracting 152 from 160 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 13:
When dividing 80 by 76, we get 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1364.2368421
If we subtract 76 from 80, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 14:
The number 76 fits into 40 0 times, leaving a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 1364.2368421
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 1364.2368421 and a remainder of 4e-08.