419679 divided by 59 
We want to figure out the number of times 419679 can be divided by 59.

Moving on to step 1:
59 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 59

Step 2:
41 divided by 59 is 0 with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Take the next digit (9) from the dividend and append it to 41, then repeat: 419 / 59

Moving on to step 3:
If we divide 419 by 59, we get 7 and a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 413 away from 419, we end up with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 59

Advancing to step 4:
59 can be fit into 66 1 times, resulting in a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 71.0
The remainder is 7 after subtracting 59 from 66.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 59

Step 5:
59 goes into 77 1 times with a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 711.0
The remainder is 18 after subtracting 59 from 77.
Bring next digit (9) of the dividend behind the 18 and repeat the process: 189 / 59

Step 6:
189 divided by 59 is 3 with a remainder of 12.
The number 3 becomes the next digit in our result. 
Result so far: 7113.0
If we take 177 away from 189, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 7:
When dividing 120 by 59, we get 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 7113.2
The remainder is 2 after subtracting 118 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
If we divide 20 by 59, we get 0 and a remainder of 20.
The next digit of our result is 0. 
Result so far: 7113.2
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
59 goes into 200 3 times with a remainder of 23.
The next digit of our result is 3. 
Result so far: 7113.203
Subtract 177 from 200 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 10:
59 can be fit into 230 3 times, resulting in a remainder of 53.
Use 3 as the next digit of our solution. 
Result so far: 7113.2033
Subtract 177 from 230 to get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

After the division, we end up with 7113.2033 and a remainder of 0.00053.