669806 ÷ 59 
Our goal is to divide 669806 by 59.

Going ahead to step 1:
59 goes into 6 0 times with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 59

Going ahead to step 2:
The number 59 fits into 66 1 times, leaving a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 59 from 66 to get 7.
Append the next digit (9) from the dividend to 7 and continue with: 79 / 59

On to step 3:
When dividing 79 by 59, we get 1 with a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 59 from 79 leaves us with 20.
Include the next digit (8) from the dividend after 20, then repeat: 208 / 59

Advancing to step 4:
If we divide 208 by 59, we get 3 and a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 113.0
The remainder is 31 after subtracting 177 from 208.
Take the next digit (0) from the dividend and append it to 31, then repeat: 310 / 59

Advancing to step 5:
59 goes into 310 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 1135.0
If we take 295 away from 310, we end up with 15.
Take the next digit (6) from the dividend and append it to 15, then repeat: 156 / 59

Step 6:
59 can be fit into 156 2 times, resulting in a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 11352.0
If we take 118 away from 156, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 7:
59 goes into 380 6 times with a remainder of 26.
The number 6 becomes the next digit in our result. 
Result so far: 11352.6
Deduct 354 from 380 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 8:
59 goes into 260 4 times with a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 11352.64
The remainder is 24 after subtracting 236 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 9:
The number 59 fits into 240 4 times, leaving a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 11352.644
Deduct 236 from 240 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 11352.644 and a remainder of 0.0004.