434689 ÷ 60 
We're looking to find how many times 60 goes into 434689.

Moving on to step 1:
60 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 60

Step 2:
60 goes into 43 0 times with a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 43 after subtracting 0 from 43.
Include the next digit (4) from the dividend after 43, then repeat: 434 / 60

Let's proceed to step 3:
The number 60 fits into 434 7 times, leaving a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 7.0
The remainder is 14 after subtracting 420 from 434.
Grab the next digit (6) from the dividend, add it to 14, then carry on: 146 / 60

Going ahead to step 4:
60 can be fit into 146 2 times, resulting in a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 72.0
Deduct 120 from 146 and we're left with 26.
Include the next digit (8) from the dividend after 26, then repeat: 268 / 60

Moving on to step 5:
If we divide 268 by 60, we get 4 and a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 724.0
Subtracting 240 from 268 leaves us with 28.
Take the next digit (9) from the dividend and append it to 28, then repeat: 289 / 60

Let's proceed to step 6:
60 can be fit into 289 4 times, resulting in a remainder of 49.
Put 4 as the next digit of the answer. 
Result so far: 7244.0
Subtracting 240 from 289 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Let's proceed to step 7:
60 goes into 490 8 times with a remainder of 10.
Write down 8 as next digit of the result. 
Result so far: 7244.8
Subtract 480 from 490 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
60 can be fit into 100 1 times, resulting in a remainder of 40.
Write down 1 as next digit of the result. 
Result so far: 7244.81
Deduct 60 from 100 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 9:
400 divided by 60 is 6 with a remainder of 40.
The number 6 becomes the next digit in our result. 
Result so far: 7244.816
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
If we divide 400 by 60, we get 6 and a remainder of 40.
Use 6 as the next digit of our solution. 
Result so far: 7244.8166
If we take 360 away from 400, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 7244.8166 with a balance of 0.0004.