We're dividing 634434 by 37 
Our goal is to divide 634434 by 37.

Going ahead to step 1:
If we divide 6 by 37, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 37

Step 2:
The number 37 fits into 63 1 times, leaving a remainder of 26.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 37 from 63, we get 26.
Grab the next digit (4) from the dividend, add it to 26, then carry on: 264 / 37

Step 3:
The number 37 fits into 264 7 times, leaving a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 17.0
If we take 259 away from 264, we end up with 5.
Take the next digit (4) from the dividend and append it to 5, then repeat: 54 / 37

Step 4:
The number 37 fits into 54 1 times, leaving a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 171.0
Subtract 37 from 54 to get 17.
Take the next digit (3) from the dividend and append it to 17, then repeat: 173 / 37

Step 5:
When dividing 173 by 37, we get 4 with a remainder of 25.
Use 4 as the next digit of our solution. 
Result so far: 1714.0
Deduct 148 from 173 and we're left with 25.
Take the next digit (4) from the dividend and append it to 25, then repeat: 254 / 37

Let's proceed to step 6:
If we divide 254 by 37, we get 6 and a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 17146.0
If we take 222 away from 254, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 7:
If we divide 320 by 37, we get 8 and a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 17146.8
The remainder is 24 after subtracting 296 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
The number 37 fits into 240 6 times, leaving a remainder of 18.
The next digit of our result is 6. 
Result so far: 17146.86
Deduct 222 from 240 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 9:
37 can be fit into 180 4 times, resulting in a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 17146.864
Deduct 148 from 180 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 10:
If we divide 320 by 37, we get 8 and a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 17146.8648
If we subtract 296 from 320, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 11:
37 goes into 240 6 times with a remainder of 18.
Record the quotient 6 as the next digit in the result. 
Result so far: 17146.86486
The remainder is 18 after subtracting 222 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 12:
37 can be fit into 180 4 times, resulting in a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 17146.864864
Subtracting 148 from 180 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 13:
37 can be fit into 320 8 times, resulting in a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 17146.8648648
Subtract 296 from 320 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 14:
If we divide 240 by 37, we get 6 and a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 17146.86486486
Subtracting 222 from 240 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

The final result is 17146.86486486 with a remainder of 1.8e-08.