153374 ÷ 88 
Our goal is to divide 153374 by 88.

Step 1:
When dividing 1 by 88, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 88

On to step 2:
When dividing 15 by 88, we get 0 with a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 15, we get 15.
Append the next digit (3) from the dividend to 15 and continue with: 153 / 88

Let's proceed to step 3:
88 can be fit into 153 1 times, resulting in a remainder of 65.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 88 from 153 leaves us with 65.
Bring next digit (3) of the dividend behind the 65 and repeat the process: 653 / 88

Step 4:
If we divide 653 by 88, we get 7 and a remainder of 37.
The next digit of our result is 7. 
Result so far: 17.0
If we take 616 away from 653, we end up with 37.
Take the next digit (7) from the dividend and append it to 37, then repeat: 377 / 88

Advancing to step 5:
377 divided by 88 is 4 with a remainder of 25.
The next digit of our result is 4. 
Result so far: 174.0
If we take 352 away from 377, we end up with 25.
Append the next digit (4) from the dividend to 25 and continue with: 254 / 88

Moving on to step 6:
88 can be fit into 254 2 times, resulting in a remainder of 78.
The number 2 becomes the next digit in our result. 
Result so far: 1742.0
Subtract 176 from 254 to get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Let's proceed to step 7:
780 divided by 88 is 8 with a remainder of 76.
Write down 8 as next digit of the result. 
Result so far: 1742.8
Deduct 704 from 780 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 8:
88 goes into 760 8 times with a remainder of 56.
Record the quotient 8 as the next digit in the result. 
Result so far: 1742.88
The remainder is 56 after subtracting 704 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The final outcome is 1742.88, with a leftover of 0.056.