714674 ÷ 59 
Our goal is to divide 714674 by 59.

Let's proceed to step 1:
If we divide 7 by 59, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 59

Going ahead to step 2:
59 goes into 71 1 times with a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 59 away from 71, we end up with 12.
Grab the next digit (4) from the dividend, add it to 12, then carry on: 124 / 59

Going ahead to step 3:
59 goes into 124 2 times with a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 12.0
If we subtract 118 from 124, we get 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 59

Going ahead to step 4:
If we divide 66 by 59, we get 1 and a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 121.0
Subtracting 59 from 66 leaves us with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 59

Let's proceed to step 5:
If we divide 77 by 59, we get 1 and a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 1211.0
The remainder is 18 after subtracting 59 from 77.
Bring next digit (4) of the dividend behind the 18 and repeat the process: 184 / 59

On to step 6:
59 can be fit into 184 3 times, resulting in a remainder of 7.
Write down 3 as next digit of the result. 
Result so far: 12113.0
Subtract 177 from 184 to get 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 7:
If we divide 70 by 59, we get 1 and a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 12113.1
Subtracting 59 from 70 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 8:
If we divide 110 by 59, we get 1 and a remainder of 51.
Use 1 as the next digit of our solution. 
Result so far: 12113.11
Deduct 59 from 110 and we're left with 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 quotient of the division is 12113.11, and the remainder is 0.051.