Let's divide 634961 by 34
Our goal is to divide 634961 by 34.

Moving on to step 1:
34 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 34

Step 2:
When dividing 63 by 34, we get 1 with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 34 from 63 leaves us with 29.
Take the next digit (4) from the dividend and append it to 29, then repeat: 294 / 34

Let's proceed to step 3:
If we divide 294 by 34, we get 8 and a remainder of 22.
The next digit of our result is 8. 
Result so far: 18.0
Deduct 272 from 294 and we're left with 22.
Grab the next digit (9) from the dividend, add it to 22, then carry on: 229 / 34

Step 4:
If we divide 229 by 34, we get 6 and a remainder of 25.
The next digit of our result is 6. 
Result so far: 186.0
The remainder is 25 after subtracting 204 from 229.
Grab the next digit (6) from the dividend, add it to 25, then carry on: 256 / 34

On to step 5:
If we divide 256 by 34, we get 7 and a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 1867.0
Subtract 238 from 256 to get 18.
Fetch the next digit (1) from the dividend, attach it to 18 and continue: 181 / 34

Advancing to step 6:
When dividing 181 by 34, we get 5 with a remainder of 11.
Write down 5 as next digit of the result. 
Result so far: 18675.0
Deduct 170 from 181 and we're left 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.

Step 7:
If we divide 110 by 34, we get 3 and a remainder of 8.
The next digit of our result is 3. 
Result so far: 18675.3
If we take 102 away from 110, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
80 divided by 34 is 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 18675.32
Deduct 68 from 80 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
34 can be fit into 120 3 times, resulting in a remainder of 18.
The number 3 becomes the next digit in our result. 
Result so far: 18675.323
If we subtract 102 from 120, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 10:
When dividing 180 by 34, we get 5 with a remainder of 10.
The next digit of our result is 5. 
Result so far: 18675.3235
The remainder is 10 after subtracting 170 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
34 can be fit into 100 2 times, resulting in a remainder of 32.
The next digit of our result is 2. 
Result so far: 18675.32352
Subtract 68 from 100 to get 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 12:
The number 34 fits into 320 9 times, leaving a remainder of 14.
Put 9 as the next digit of the answer. 
Result so far: 18675.323529
Deduct 306 from 320 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 13:
When dividing 140 by 34, we get 4 with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 18675.3235294
If we take 136 away from 140, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 14:
If we divide 40 by 34, we get 1 and a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 18675.32352941
Subtracting 34 from 40 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The final outcome is 18675.32352941, with a leftover of 6e-09.