478021 ÷ 59 
We want to figure out the number of times 478021 can be divided by 59.

On to step 1:
If we divide 4 by 59, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 59

Moving on to step 2:
When dividing 47 by 59, we get 0 with a remainder of 47.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 47 after subtracting 0 from 47.
Take the next digit (8) from the dividend and append it to 47, then repeat: 478 / 59

Moving on to step 3:
The number 59 fits into 478 8 times, leaving a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Deduct 472 from 478 and we're left with 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 59

Moving on to step 4:
When dividing 60 by 59, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 81.0
The remainder is 1 after subtracting 59 from 60.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 59

Moving on to step 5:
If we divide 12 by 59, we get 0 and a remainder of 12.
The number 0 becomes the next digit in our result. 
Result so far: 810.0
The remainder is 12 after subtracting 0 from 12.
Fetch the next digit (1) from the dividend, attach it to 12 and continue: 121 / 59

Going ahead to step 6:
59 goes into 121 2 times with a remainder of 3.
Put 2 as the next digit of the answer. 
Result so far: 8102.0
The remainder is 3 after subtracting 118 from 121.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 7:
The number 59 fits into 30 0 times, leaving a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 8102.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
59 can be fit into 300 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 8102.05
The remainder is 5 after subtracting 295 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
When dividing 50 by 59, we get 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 8102.05
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 10:
When dividing 500 by 59, we get 8 with a remainder of 28.
The number 8 becomes the next digit in our result. 
Result so far: 8102.0508
The remainder is 28 after subtracting 472 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Moving on to step 11:
The number 59 fits into 280 4 times, leaving a remainder of 44.
Use 4 as the next digit of our solution. 
Result so far: 8102.05084
Deduct 236 from 280 and we're left 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 12:
If we divide 440 by 59, we get 7 and a remainder of 27.
Put 7 as the next digit of the answer. 
Result so far: 8102.050847
If we take 413 away from 440, we end up 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.

Going ahead to step 13:
270 divided by 59 is 4 with a remainder of 34.
Write down 4 as next digit of the result. 
Result so far: 8102.0508474
Subtract 236 from 270 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 14:
59 goes into 340 5 times with a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 8102.05084745
The remainder is 45 after subtracting 295 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The final result is 8102.05084745 with a remainder of 4.5e-08.