619601 ÷ 59 
Let's see how many times 59 fits into 619601.

Advancing to step 1:
When dividing 6 by 59, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 59

Moving on to step 2:
If we divide 61 by 59, we get 1 and a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 2 after subtracting 59 from 61.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 59

Let's proceed to step 3:
59 goes into 29 0 times with a remainder of 29.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 29 after subtracting 0 from 29.
Bring next digit (6) of the dividend behind the 29 and repeat the process: 296 / 59

Going ahead to step 4:
59 can be fit into 296 5 times, resulting in a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 105.0
Subtract 295 from 296 to get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 59

Moving on to step 5:
If we divide 10 by 59, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 1050.0
Subtracting 0 from 10 leaves us with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 59

Let's proceed to step 6:
When dividing 101 by 59, we get 1 with a remainder of 42.
The next digit of our result is 1. 
Result so far: 10501.0
If we subtract 59 from 101, we get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 7:
59 goes into 420 7 times with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 10501.7
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 8:
59 can be fit into 70 1 times, resulting in a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 10501.71
The remainder is 11 after subtracting 59 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 9:
If we divide 110 by 59, we get 1 and a remainder of 51.
The number 1 becomes the next digit in our result. 
Result so far: 10501.711
Subtract 59 from 110 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

The final outcome is 10501.711, with a leftover of 0.0051.