1391588 ÷ 259 
We want to figure out the number of times 1391588 can be divided by 259.

Advancing to step 1:
259 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 259

Let's proceed to step 2:
The number 259 fits into 13 0 times, leaving a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Take the next digit (9) from the dividend and append it to 13, then repeat: 139 / 259

Let's proceed to step 3:
If we divide 139 by 259, we get 0 and a remainder of 139.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 139 to get 139.
Fetch the next digit (1) from the dividend, attach it to 139 and continue: 1391 / 259

Let's proceed to step 4:
If we divide 1391 by 259, we get 5 and a remainder of 96.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Deduct 1295 from 1391 and we're left with 96.
Grab the next digit (5) from the dividend, add it to 96, then carry on: 965 / 259

Let's proceed to step 5:
The number 259 fits into 965 3 times, leaving a remainder of 188.
Use 3 as the next digit of our solution. 
Result so far: 53.0
The remainder is 188 after subtracting 777 from 965.
Take the next digit (8) from the dividend and append it to 188, then repeat: 1888 / 259

Going ahead to step 6:
The number 259 fits into 1888 7 times, leaving a remainder of 75.
Record the quotient 7 as the next digit in the result. 
Result so far: 537.0
Subtract 1813 from 1888 to get 75.
Take the next digit (8) from the dividend and append it to 75, then repeat: 758 / 259

Going ahead to step 7:
When dividing 758 by 259, we get 2 with a remainder of 240.
The next digit of our result is 2. 
Result so far: 5372.0
If we subtract 518 from 758, we get 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Advancing to step 8:
259 can be fit into 2400 9 times, resulting in a remainder of 69.
The next digit of our result is 9. 
Result so far: 5372.9
Subtract 2331 from 2400 to get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Going ahead to step 9:
The number 259 fits into 690 2 times, leaving a remainder of 172.
Use 2 as the next digit of our solution. 
Result so far: 5372.92
Subtract 518 from 690 to get 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1720, and continue the process.

Advancing to step 10:
259 can be fit into 1720 6 times, resulting in a remainder of 166.
The next digit of our result is 6. 
Result so far: 5372.926
Subtract 1554 from 1720 to get 166.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1660, and continue the process.

On to step 11:
If we divide 1660 by 259, we get 6 and a remainder of 106.
Record the quotient 6 as the next digit in the result. 
Result so far: 5372.9266
Subtracting 1554 from 1660 leaves us with 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

The quotient of the division is 5372.9266, and the remainder is 0.00106.