5258519 ÷ 134 
Our goal is to divide 5258519 by 134.

Moving on to step 1:
When dividing 5 by 134, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 134

Going ahead to step 2:
If we divide 52 by 134, we get 0 and a remainder of 52.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 52 leaves us with 52.
Include the next digit (5) from the dividend after 52, then repeat: 525 / 134

On to step 3:
134 can be fit into 525 3 times, resulting in a remainder of 123.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Subtracting 402 from 525 leaves us with 123.
Take the next digit (8) from the dividend and append it to 123, then repeat: 1238 / 134

Advancing to step 4:
When dividing 1238 by 134, we get 9 with a remainder of 32.
The next digit of our result is 9. 
Result so far: 39.0
If we take 1206 away from 1238, we end up with 32.
Grab the next digit (5) from the dividend, add it to 32, then carry on: 325 / 134

Step 5:
325 divided by 134 is 2 with a remainder of 57.
The next digit of our result is 2. 
Result so far: 392.0
The remainder is 57 after subtracting 268 from 325.
Fetch the next digit (1) from the dividend, attach it to 57 and continue: 571 / 134

Let's proceed to step 6:
When dividing 571 by 134, we get 4 with a remainder of 35.
The number 4 becomes the next digit in our result. 
Result so far: 3924.0
Subtract 536 from 571 to get 35.
Append the next digit (9) from the dividend to 35 and continue with: 359 / 134

Advancing to step 7:
134 can be fit into 359 2 times, resulting in a remainder of 91.
The next digit of our result is 2. 
Result so far: 39242.0
If we take 268 away from 359, we end up with 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Step 8:
The number 134 fits into 910 6 times, leaving a remainder of 106.
The next digit of our result is 6. 
Result so far: 39242.6
The remainder is 106 after subtracting 804 from 910.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

Going ahead to step 9:
When dividing 1060 by 134, we get 7 with a remainder of 122.
Use 7 as the next digit of our solution. 
Result so far: 39242.67
The remainder is 122 after subtracting 938 from 1060.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1220, and continue the process.

Moving on to step 10:
The number 134 fits into 1220 9 times, leaving a remainder of 14.
The next digit of our result is 9. 
Result so far: 39242.679
Subtract 1206 from 1220 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 11:
If we divide 140 by 134, we get 1 and a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 39242.6791
Deduct 134 from 140 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 12:
The number 134 fits into 60 0 times, leaving a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 39242.6791
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 13:
If we divide 600 by 134, we get 4 and a remainder of 64.
Put 4 as the next digit of the answer. 
Result so far: 39242.679104
The remainder is 64 after subtracting 536 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 14:
If we divide 640 by 134, we get 4 and a remainder of 104.
Put 4 as the next digit of the answer. 
Result so far: 39242.6791044
The remainder is 104 after subtracting 536 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1040, and continue the process.

The quotient of the division is 39242.6791044, and the remainder is 1.04e-06.