371007 divided by 88 
Our goal is to divide 371007 by 88.

Step 1:
The number 88 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 88

Step 2:
When dividing 37 by 88, we get 0 with a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Grab the next digit (1) from the dividend, add it to 37, then carry on: 371 / 88

Moving on to step 3:
When dividing 371 by 88, we get 4 with a remainder of 19.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 19 after subtracting 352 from 371.
Take the next digit (0) from the dividend and append it to 19, then repeat: 190 / 88

Let's proceed to step 4:
88 goes into 190 2 times with a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 42.0
If we subtract 176 from 190, we get 14.
Fetch the next digit (0) from the dividend, attach it to 14 and continue: 140 / 88

Step 5:
The number 88 fits into 140 1 times, leaving a remainder of 52.
The next digit of our result is 1. 
Result so far: 421.0
Deduct 88 from 140 and we're left with 52.
Append the next digit (7) from the dividend to 52 and continue with: 527 / 88

Step 6:
When dividing 527 by 88, we get 5 with a remainder of 87.
The number 5 becomes the next digit in our result. 
Result so far: 4215.0
Subtract 440 from 527 to get 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

On to step 7:
When dividing 870 by 88, we get 9 with a remainder of 78.
The number 9 becomes the next digit in our result. 
Result so far: 4215.9
If we take 792 away from 870, we end up with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 8:
88 can be fit into 780 8 times, resulting in a remainder of 76.
The number 8 becomes the next digit in our result. 
Result so far: 4215.98
Subtract 704 from 780 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 9:
88 goes into 760 8 times with a remainder of 56.
Write down 8 as next digit of the result. 
Result so far: 4215.988
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.

After the division, we end up with 4215.988 and a remainder of 0.0056.