103214 ÷ 84 
We want to divide 103214 by 84.

Going ahead to step 1:
The number 84 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 84

Going ahead to step 2:
10 divided by 84 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 84

Moving on to step 3:
The number 84 fits into 103 1 times, leaving a remainder of 19.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 19 after subtracting 84 from 103.
Take the next digit (2) from the dividend and append it to 19, then repeat: 192 / 84

Moving on to step 4:
If we divide 192 by 84, we get 2 and a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we subtract 168 from 192, we get 24.
Take the next digit (1) from the dividend and append it to 24, then repeat: 241 / 84

Advancing to step 5:
84 can be fit into 241 2 times, resulting in a remainder of 73.
Write down 2 as next digit of the result. 
Result so far: 122.0
If we subtract 168 from 241, we get 73.
Fetch the next digit (4) from the dividend, attach it to 73 and continue: 734 / 84

Let's proceed to step 6:
84 goes into 734 8 times with a remainder of 62.
Write down 8 as next digit of the result. 
Result so far: 1228.0
Subtract 672 from 734 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 7:
620 divided by 84 is 7 with a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 1228.7
The remainder is 32 after subtracting 588 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 8:
If we divide 320 by 84, we get 3 and a remainder of 68.
The number 3 becomes the next digit in our result. 
Result so far: 1228.73
Subtract 252 from 320 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 9:
680 divided by 84 is 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 1228.738
Deduct 672 from 680 and we're left 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.

Going ahead to step 10:
The number 84 fits into 80 0 times, leaving a remainder of 80.
The next digit of our result is 0. 
Result so far: 1228.738
If we subtract 0 from 80, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 11:
800 divided by 84 is 9 with a remainder of 44.
Use 9 as the next digit of our solution. 
Result so far: 1228.73809
The remainder is 44 after subtracting 756 from 800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 12:
84 goes into 440 5 times with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 1228.738095
Subtracting 420 from 440 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 13:
200 divided by 84 is 2 with a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 1228.7380952
If we take 168 away from 200, we end up 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.

Moving on to step 14:
When dividing 320 by 84, we get 3 with a remainder of 68.
Write down 3 as next digit of the result. 
Result so far: 1228.73809523
If we subtract 252 from 320, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

After the division, we end up with 1228.73809523 and a remainder of 6.8e-08.