106114 divided by 32 
We want to figure out the number of times 106114 can be divided by 32.

Moving on to step 1:
When dividing 1 by 32, we get 0 with 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 / 32

Step 2:
If we divide 10 by 32, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 32

Advancing to step 3:
32 can be fit into 106 3 times, resulting in a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 3.0
The remainder is 10 after subtracting 96 from 106.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 32

Let's proceed to step 4:
32 goes into 101 3 times with a remainder of 5.
Write down 3 as next digit of the result. 
Result so far: 33.0
Subtract 96 from 101 to get 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 32

Advancing to step 5:
32 goes into 51 1 times with a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 331.0
The remainder is 19 after subtracting 32 from 51.
Take the next digit (4) from the dividend and append it to 19, then repeat: 194 / 32

Let's proceed to step 6:
If we divide 194 by 32, we get 6 and a remainder of 2.
The next digit of our result is 6. 
Result so far: 3316.0
Subtract 192 from 194 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
32 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 3316.0
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
32 goes into 200 6 times with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 3316.06
Deduct 192 from 200 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 9:
80 divided by 32 is 2 with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 3316.062
Deduct 64 from 80 and we're left 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.

Step 10:
32 can be fit into 160 5 times, resulting in a remainder of 0.
The next digit of our result is 5. 
Result so far: 3316.0625
The remainder is 0 after subtracting 160 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 11:
When dividing 0 by 32, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 3316.0625
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 12:
If we divide 0 by 32, we get 0 and a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 3316.0625
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The quotient of the division is 3316.0625, and the remainder is 0.0.