Let's divide 379369 by 71
Our goal is to divide 379369 by 71.

Going ahead to step 1:
When dividing 3 by 71, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 71

Advancing to step 2:
71 can be fit into 37 0 times, resulting in 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.
Take the next digit (9) from the dividend and append it to 37, then repeat: 379 / 71

Let's proceed to step 3:
71 goes into 379 5 times with a remainder of 24.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we take 355 away from 379, we end up with 24.
Fetch the next digit (3) from the dividend, attach it to 24 and continue: 243 / 71

Advancing to step 4:
The number 71 fits into 243 3 times, leaving a remainder of 30.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
If we subtract 213 from 243, we get 30.
Take the next digit (6) from the dividend and append it to 30, then repeat: 306 / 71

On to step 5:
71 can be fit into 306 4 times, resulting in a remainder of 22.
Write down 4 as next digit of the result. 
Result so far: 534.0
Deduct 284 from 306 and we're left with 22.
Grab the next digit (9) from the dividend, add it to 22, then carry on: 229 / 71

Moving on to step 6:
229 divided by 71 is 3 with a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 5343.0
Subtracting 213 from 229 leaves us 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 7:
If we divide 160 by 71, we get 2 and a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 5343.2
Subtracting 142 from 160 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
The number 71 fits into 180 2 times, leaving a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 5343.22
The remainder is 38 after subtracting 142 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The final outcome is 5343.22, with a leftover of 0.038.