1066037 ÷ 634 
We're looking to find how many times 634 goes into 1066037.

Step 1:
634 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 634

On to step 2:
When dividing 10 by 634, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 634

Advancing to step 3:
106 divided by 634 is 0 with a remainder of 106.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 106 after subtracting 0 from 106.
Append the next digit (6) from the dividend to 106 and continue with: 1066 / 634

Advancing to step 4:
If we divide 1066 by 634, we get 1 and a remainder of 432.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 634 from 1066, we get 432.
Grab the next digit (0) from the dividend, add it to 432, then carry on: 4320 / 634

On to step 5:
634 goes into 4320 6 times with a remainder of 516.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
If we subtract 3804 from 4320, we get 516.
Fetch the next digit (3) from the dividend, attach it to 516 and continue: 5163 / 634

Advancing to step 6:
The number 634 fits into 5163 8 times, leaving a remainder of 91.
The number 8 becomes the next digit in our result. 
Result so far: 168.0
If we take 5072 away from 5163, we end up with 91.
Append the next digit (7) from the dividend to 91 and continue with: 917 / 634

Moving on to step 7:
917 divided by 634 is 1 with a remainder of 283.
Put 1 as the next digit of the answer. 
Result so far: 1681.0
The remainder is 283 after subtracting 634 from 917.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2830, and continue the process.

Let's proceed to step 8:
If we divide 2830 by 634, we get 4 and a remainder of 294.
Put 4 as the next digit of the answer. 
Result so far: 1681.4
If we subtract 2536 from 2830, we get 294.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2940, and continue the process.

On to step 9:
634 can be fit into 2940 4 times, resulting in a remainder of 404.
Put 4 as the next digit of the answer. 
Result so far: 1681.44
If we subtract 2536 from 2940, we get 404.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4040, and continue the process.

The final result is 1681.44 with a remainder of 0.404.