We're dividing 561334 by 35 
We want to figure out the number of times 561334 can be divided by 35.

Moving on to step 1:
If we divide 5 by 35, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 35

Advancing to step 2:
The number 35 fits into 56 1 times, leaving a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 35 away from 56, we end up with 21.
Bring next digit (1) of the dividend behind the 21 and repeat the process: 211 / 35

Moving on to step 3:
211 divided by 35 is 6 with a remainder of 1.
The next digit of our result is 6. 
Result so far: 16.0
If we take 210 away from 211, we end up with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 35

Going ahead to step 4:
The number 35 fits into 13 0 times, leaving a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 160.0
If we subtract 0 from 13, we get 13.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 35

Moving on to step 5:
35 can be fit into 133 3 times, resulting in a remainder of 28.
The next digit of our result is 3. 
Result so far: 1603.0
If we subtract 105 from 133, we get 28.
Grab the next digit (4) from the dividend, add it to 28, then carry on: 284 / 35

Moving on to step 6:
When dividing 284 by 35, we get 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 16038.0
Deduct 280 from 284 and we're left 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.

Let's proceed to step 7:
The number 35 fits into 40 1 times, leaving a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 16038.1
If we take 35 away from 40, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 8:
The number 35 fits into 50 1 times, leaving a remainder of 15.
The next digit of our result is 1. 
Result so far: 16038.11
If we take 35 away from 50, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final outcome is 16038.11, with a leftover of 0.015.