We're dividing 379069 by 87 
Let's see how many times 87 fits into 379069.

Going ahead to step 1:
87 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 87

Going ahead to step 2:
When dividing 37 by 87, we get 0 with a remainder of 37.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 37 and we're left with 37.
Grab the next digit (9) from the dividend, add it to 37, then carry on: 379 / 87

Step 3:
87 goes into 379 4 times with a remainder of 31.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 348 away from 379, we end up with 31.
Include the next digit (0) from the dividend after 31, then repeat: 310 / 87

Moving on to step 4:
If we divide 310 by 87, we get 3 and a remainder of 49.
Put 3 as the next digit of the answer. 
Result so far: 43.0
If we subtract 261 from 310, we get 49.
Grab the next digit (6) from the dividend, add it to 49, then carry on: 496 / 87

On to step 5:
87 can be fit into 496 5 times, resulting in a remainder of 61.
Use 5 as the next digit of our solution. 
Result so far: 435.0
The remainder is 61 after subtracting 435 from 496.
Append the next digit (9) from the dividend to 61 and continue with: 619 / 87

Step 6:
87 goes into 619 7 times with a remainder of 10.
The next digit of our result is 7. 
Result so far: 4357.0
If we subtract 609 from 619, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 7:
87 goes into 100 1 times with a remainder of 13.
The next digit of our result is 1. 
Result so far: 4357.1
Subtracting 87 from 100 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 8:
The number 87 fits into 130 1 times, leaving a remainder of 43.
The next digit of our result is 1. 
Result so far: 4357.11
If we subtract 87 from 130, we get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

The final outcome is 4357.11, with a leftover of 0.043.