We look at the division of 779906 by 59 
We want to figure out the number of times 779906 can be divided by 59.

Advancing to step 1:
If we divide 7 by 59, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 59

On to step 2:
59 goes into 77 1 times with a remainder of 18.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 59 from 77 to get 18.
Include the next digit (9) from the dividend after 18, then repeat: 189 / 59

Advancing to step 3:
59 can be fit into 189 3 times, resulting in a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we subtract 177 from 189, we get 12.
Include the next digit (9) from the dividend after 12, then repeat: 129 / 59

On to step 4:
59 goes into 129 2 times with a remainder of 11.
Use 2 as the next digit of our solution. 
Result so far: 132.0
If we subtract 118 from 129, we get 11.
Append the next digit (0) from the dividend to 11 and continue with: 110 / 59

Step 5:
When dividing 110 by 59, we get 1 with a remainder of 51.
Put 1 as the next digit of the answer. 
Result so far: 1321.0
Deduct 59 from 110 and we're left with 51.
Grab the next digit (6) from the dividend, add it to 51, then carry on: 516 / 59

On to step 6:
The number 59 fits into 516 8 times, leaving a remainder of 44.
Record the quotient 8 as the next digit in the result. 
Result so far: 13218.0
Subtracting 472 from 516 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Going ahead to step 7:
If we divide 440 by 59, we get 7 and a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 13218.7
Deduct 413 from 440 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 8:
When dividing 270 by 59, we get 4 with a remainder of 34.
Record the quotient 4 as the next digit in the result. 
Result so far: 13218.74
The remainder is 34 after subtracting 236 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 9:
When dividing 340 by 59, we get 5 with a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 13218.745
If we subtract 295 from 340, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 10:
The number 59 fits into 450 7 times, leaving a remainder of 37.
The number 7 becomes the next digit in our result. 
Result so far: 13218.7457
Subtracting 413 from 450 leaves us with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 11:
If we divide 370 by 59, we get 6 and a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 13218.74576
The remainder is 16 after subtracting 354 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 12:
If we divide 160 by 59, we get 2 and a remainder of 42.
Put 2 as the next digit of the answer. 
Result so far: 13218.745762
Subtracting 118 from 160 leaves us 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 13:
If we divide 420 by 59, we get 7 and a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 13218.7457627
Deduct 413 from 420 and we're left 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 14:
70 divided by 59 is 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 13218.74576271
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.

The final result is 13218.74576271 with a remainder of 1.1e-08.