We look at the division of 78417 by 58 
We're looking to find how many times 58 goes into 78417.

Let's proceed to step 1:
The number 58 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 58

Going ahead to step 2:
If we divide 78 by 58, we get 1 and a remainder of 20.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 58 from 78, we get 20.
Fetch the next digit (4) from the dividend, attach it to 20 and continue: 204 / 58

Going ahead to step 3:
58 goes into 204 3 times with a remainder of 30.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtract 174 from 204 to get 30.
Include the next digit (1) from the dividend after 30, then repeat: 301 / 58

Let's proceed to step 4:
301 divided by 58 is 5 with a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 135.0
If we take 290 away from 301, we end up with 11.
Grab the next digit (7) from the dividend, add it to 11, then carry on: 117 / 58

Step 5:
The number 58 fits into 117 2 times, leaving a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 1352.0
The remainder is 1 after subtracting 116 from 117.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 6:
58 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 1352.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
The number 58 fits into 100 1 times, leaving a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 1352.01
Deduct 58 from 100 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Going ahead to step 8:
58 can be fit into 420 7 times, resulting in a remainder of 14.
Put 7 as the next digit of the answer. 
Result so far: 1352.017
Deduct 406 from 420 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 9:
58 can be fit into 140 2 times, resulting in a remainder of 24.
The number 2 becomes the next digit in our result. 
Result so far: 1352.0172
If we subtract 116 from 140, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
240 divided by 58 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 1352.01724
Subtracting 232 from 240 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 11:
58 can be fit into 80 1 times, resulting in a remainder of 22.
The next digit of our result is 1. 
Result so far: 1352.017241
If we subtract 58 from 80, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Moving on to step 12:
When dividing 220 by 58, we get 3 with a remainder of 46.
The number 3 becomes the next digit in our result. 
Result so far: 1352.0172413
Subtract 174 from 220 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 13:
58 goes into 460 7 times with a remainder of 54.
Put 7 as the next digit of the answer. 
Result so far: 1352.01724137
Subtract 406 from 460 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

The final result is 1352.01724137 with a remainder of 5.4e-08.