106889 divided by 84 
We want to figure out the number of times 106889 can be divided by 84.

Advancing to step 1:
1 divided by 84 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 84

Moving on to step 2:
The number 84 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 84

Advancing to step 3:
When dividing 106 by 84, we get 1 with a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 84 from 106, we get 22.
Bring next digit (8) of the dividend behind the 22 and repeat the process: 228 / 84

Advancing to step 4:
84 goes into 228 2 times with a remainder of 60.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
The remainder is 60 after subtracting 168 from 228.
Bring next digit (8) of the dividend behind the 60 and repeat the process: 608 / 84

Step 5:
608 divided by 84 is 7 with a remainder of 20.
Record the quotient 7 as the next digit in the result. 
Result so far: 127.0
If we take 588 away from 608, we end up with 20.
Append the next digit (9) from the dividend to 20 and continue with: 209 / 84

On to step 6:
84 goes into 209 2 times with a remainder of 41.
The next digit of our result is 2. 
Result so far: 1272.0
If we subtract 168 from 209, 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 7:
84 can be fit into 410 4 times, resulting in a remainder of 74.
Use 4 as the next digit of our solution. 
Result so far: 1272.4
If we subtract 336 from 410, we get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 8:
If we divide 740 by 84, we get 8 and a remainder of 68.
Record the quotient 8 as the next digit in the result. 
Result so far: 1272.48
Deduct 672 from 740 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.

Going ahead to step 9:
680 divided by 84 is 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 1272.488
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.

After the division, we end up with 1272.488 and a remainder of 0.0008.