7517666 ÷ 434 
Let's see how many times 434 fits into 7517666.

Let's proceed to step 1:
When dividing 7 by 434, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 434

Moving on to step 2:
434 goes into 75 0 times with a remainder of 75.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 75, we end up with 75.
Bring next digit (1) of the dividend behind the 75 and repeat the process: 751 / 434

Advancing to step 3:
When dividing 751 by 434, we get 1 with a remainder of 317.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 434 from 751, we get 317.
Include the next digit (7) from the dividend after 317, then repeat: 3177 / 434

Advancing to step 4:
If we divide 3177 by 434, we get 7 and a remainder of 139.
The next digit of our result is 7. 
Result so far: 17.0
The remainder is 139 after subtracting 3038 from 3177.
Bring next digit (6) of the dividend behind the 139 and repeat the process: 1396 / 434

Let's proceed to step 5:
The number 434 fits into 1396 3 times, leaving a remainder of 94.
The number 3 becomes the next digit in our result. 
Result so far: 173.0
If we take 1302 away from 1396, we end up with 94.
Take the next digit (6) from the dividend and append it to 94, then repeat: 946 / 434

Going ahead to step 6:
946 divided by 434 is 2 with a remainder of 78.
Put 2 as the next digit of the answer. 
Result so far: 1732.0
Deduct 868 from 946 and we're left with 78.
Grab the next digit (6) from the dividend, add it to 78, then carry on: 786 / 434

Going ahead to step 7:
434 can be fit into 786 1 times, resulting in a remainder of 352.
The number 1 becomes the next digit in our result. 
Result so far: 17321.0
Subtract 434 from 786 to get 352.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3520, and continue the process.

Step 8:
3520 divided by 434 is 8 with a remainder of 48.
Record the quotient 8 as the next digit in the result. 
Result so far: 17321.8
Deduct 3472 from 3520 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 9:
If we divide 480 by 434, we get 1 and a remainder of 46.
Write down 1 as next digit of the result. 
Result so far: 17321.81
If we subtract 434 from 480, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 10:
If we divide 460 by 434, we get 1 and a remainder of 26.
The next digit of our result is 1. 
Result so far: 17321.811
If we take 434 away from 460, we end up 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.

The final result is 17321.811 with a remainder of 0.0026.