We're dividing 378258 by 58 
Let's see how many times 58 fits into 378258.

Going ahead to step 1:
If we divide 3 by 58, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 58

Moving on to step 2:
58 goes into 37 0 times with a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Bring next digit (8) of the dividend behind the 37 and repeat the process: 378 / 58

On to step 3:
If we divide 378 by 58, we get 6 and a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 6.0
The remainder is 30 after subtracting 348 from 378.
Append the next digit (2) from the dividend to 30 and continue with: 302 / 58

On to step 4:
When dividing 302 by 58, we get 5 with a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 65.0
The remainder is 12 after subtracting 290 from 302.
Fetch the next digit (5) from the dividend, attach it to 12 and continue: 125 / 58

Moving on to step 5:
58 can be fit into 125 2 times, resulting in a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 652.0
Subtracting 116 from 125 leaves us with 9.
Take the next digit (8) from the dividend and append it to 9, then repeat: 98 / 58

Moving on to step 6:
When dividing 98 by 58, we get 1 with a remainder of 40.
Use 1 as the next digit of our solution. 
Result so far: 6521.0
Deduct 58 from 98 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 7:
The number 58 fits into 400 6 times, leaving a remainder of 52.
Put 6 as the next digit of the answer. 
Result so far: 6521.6
Subtract 348 from 400 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 8:
58 can be fit into 520 8 times, resulting in a remainder of 56.
Put 8 as the next digit of the answer. 
Result so far: 6521.68
Subtract 464 from 520 to get 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 9:
If we divide 560 by 58, we get 9 and a remainder of 38.
Use 9 as the next digit of our solution. 
Result so far: 6521.689
If we take 522 away from 560, we end up 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:
58 can be fit into 380 6 times, resulting in a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 6521.6896
The remainder is 32 after subtracting 348 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 11:
320 divided by 58 is 5 with a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 6521.68965
Subtract 290 from 320 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 12:
58 can be fit into 300 5 times, resulting in a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 6521.689655
Subtract 290 from 300 to 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.

The final outcome is 6521.689655, with a leftover of 1e-06.