103678 divided by 83 
Our goal is to divide 103678 by 83.

Let's proceed to step 1:
If we divide 1 by 83, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 83

Let's proceed to step 2:
83 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 83

Moving on to step 3:
If we divide 103 by 83, we get 1 and a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 83 from 103 to get 20.
Take the next digit (6) from the dividend and append it to 20, then repeat: 206 / 83

Step 4:
The number 83 fits into 206 2 times, leaving a remainder of 40.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
The remainder is 40 after subtracting 166 from 206.
Bring next digit (7) of the dividend behind the 40 and repeat the process: 407 / 83

Advancing to step 5:
When dividing 407 by 83, we get 4 with a remainder of 75.
Put 4 as the next digit of the answer. 
Result so far: 124.0
Subtract 332 from 407 to get 75.
Include the next digit (8) from the dividend after 75, then repeat: 758 / 83

Moving on to step 6:
83 can be fit into 758 9 times, resulting in a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 1249.0
Deduct 747 from 758 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
The number 83 fits into 110 1 times, leaving a remainder of 27.
The number 1 becomes the next digit in our result. 
Result so far: 1249.1
Subtract 83 from 110 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 8:
83 can be fit into 270 3 times, resulting in a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 1249.13
If we take 249 away from 270, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 9:
83 can be fit into 210 2 times, resulting in a remainder of 44.
Use 2 as the next digit of our solution. 
Result so far: 1249.132
Subtract 166 from 210 to 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.

Let's proceed to step 10:
When dividing 440 by 83, we get 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 1249.1325
Subtract 415 from 440 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 11:
If we divide 250 by 83, we get 3 and a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 1249.13253
Subtracting 249 from 250 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.

Let's proceed to step 12:
83 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 1249.13253
Deduct 0 from 10 and we're left 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.

Going ahead to step 13:
83 can be fit into 100 1 times, resulting in a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 1249.1325301
Deduct 83 from 100 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.

Let's proceed to step 14:
The number 83 fits into 170 2 times, leaving a remainder of 4.
The next digit of our result is 2. 
Result so far: 1249.13253012
The remainder is 4 after subtracting 166 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final result is 1249.13253012 with a remainder of 4e-09.