783975 ÷ 59 
Our goal is to divide 783975 by 59.

Step 1:
59 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 59

Let's proceed to step 2:
78 divided by 59 is 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 59 from 78 leaves us with 19.
Take the next digit (3) from the dividend and append it to 19, then repeat: 193 / 59

Step 3:
59 goes into 193 3 times with a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtracting 177 from 193 leaves us with 16.
Append the next digit (9) from the dividend to 16 and continue with: 169 / 59

Step 4:
169 divided by 59 is 2 with a remainder of 51.
Put 2 as the next digit of the answer. 
Result so far: 132.0
If we subtract 118 from 169, we get 51.
Take the next digit (7) from the dividend and append it to 51, then repeat: 517 / 59

Step 5:
When dividing 517 by 59, we get 8 with a remainder of 45.
Record the quotient 8 as the next digit in the result. 
Result so far: 1328.0
If we subtract 472 from 517, we get 45.
Fetch the next digit (5) from the dividend, attach it to 45 and continue: 455 / 59

On to step 6:
59 can be fit into 455 7 times, resulting in a remainder of 42.
Write down 7 as next digit of the result. 
Result so far: 13287.0
Deduct 413 from 455 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.

Step 7:
When dividing 420 by 59, we get 7 with a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 13287.7
If we take 413 away from 420, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 8:
When dividing 70 by 59, we get 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 13287.71
If we subtract 59 from 70, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 9:
When dividing 110 by 59, we get 1 with a remainder of 51.
Record the quotient 1 as the next digit in the result. 
Result so far: 13287.711
The remainder is 51 after subtracting 59 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

The quotient of the division is 13287.711, and the remainder is 0.0051.