14213 ÷ 153 
We're looking to find how many times 153 goes into 14213.

Going ahead to step 1:
153 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (4) from the dividend after 1, then repeat: 14 / 153

Step 2:
When dividing 14 by 153, we get 0 with a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 14, we end up with 14.
Fetch the next digit (2) from the dividend, attach it to 14 and continue: 142 / 153

Going ahead to step 3:
153 can be fit into 142 0 times, resulting in a remainder of 142.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 142 to get 142.
Append the next digit (1) from the dividend to 142 and continue with: 1421 / 153

Let's proceed to step 4:
The number 153 fits into 1421 9 times, leaving a remainder of 44.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 1377 from 1421, we get 44.
Bring next digit (3) of the dividend behind the 44 and repeat the process: 443 / 153

Moving on to step 5:
If we divide 443 by 153, we get 2 and a remainder of 137.
Record the quotient 2 as the next digit in the result. 
Result so far: 92.0
The remainder is 137 after subtracting 306 from 443.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1370, and continue the process.

Going ahead to step 6:
When dividing 1370 by 153, we get 8 with a remainder of 146.
The number 8 becomes the next digit in our result. 
Result so far: 92.8
If we subtract 1224 from 1370, we get 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

Moving on to step 7:
When dividing 1460 by 153, we get 9 with a remainder of 83.
Use 9 as the next digit of our solution. 
Result so far: 92.89
If we take 1377 away from 1460, we end up with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Moving on to step 8:
The number 153 fits into 830 5 times, leaving a remainder of 65.
The number 5 becomes the next digit in our result. 
Result so far: 92.895
The remainder is 65 after subtracting 765 from 830.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Advancing to step 9:
650 divided by 153 is 4 with a remainder of 38.
The number 4 becomes the next digit in our result. 
Result so far: 92.8954
Deduct 612 from 650 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 10:
If we divide 380 by 153, we get 2 and a remainder of 74.
Put 2 as the next digit of the answer. 
Result so far: 92.89542
If we subtract 306 from 380, 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.

On to step 11:
153 can be fit into 740 4 times, resulting in a remainder of 128.
Put 4 as the next digit of the answer. 
Result so far: 92.895424
Deduct 612 from 740 and we're left with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

On to step 12:
153 can be fit into 1280 8 times, resulting in a remainder of 56.
Write down 8 as next digit of the result. 
Result so far: 92.8954248
If we take 1224 away from 1280, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 13:
If we divide 560 by 153, we get 3 and a remainder of 101.
Use 3 as the next digit of our solution. 
Result so far: 92.89542483
Deduct 459 from 560 and we're left with 101.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1010, and continue the process.

After the division, we end up with 92.89542483 and a remainder of 1.01e-07.