We look at the division of 705901 by 30 
We're looking to find how many times 30 goes into 705901.

Let's proceed to step 1:
When dividing 7 by 30, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Include the next digit (0) from the dividend after 7, then repeat: 70 / 30

On to step 2:
When dividing 70 by 30, we get 2 with a remainder of 10.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 60 away from 70, we end up with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 30

Advancing to step 3:
When dividing 105 by 30, we get 3 with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 23.0
Subtracting 90 from 105 leaves us with 15.
Include the next digit (9) from the dividend after 15, then repeat: 159 / 30

Step 4:
When dividing 159 by 30, we get 5 with a remainder of 9.
Use 5 as the next digit of our solution. 
Result so far: 235.0
Subtracting 150 from 159 leaves us with 9.
Append the next digit (0) from the dividend to 9 and continue with: 90 / 30

Advancing to step 5:
The number 30 fits into 90 3 times, leaving a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 2353.0
The remainder is 0 after subtracting 90 from 90.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 30

Advancing to step 6:
The number 30 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 23530.0
Subtract 0 from 1 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
The number 30 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 23530.0
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 8:
The number 30 fits into 100 3 times, leaving a remainder of 10.
Put 3 as the next digit of the answer. 
Result so far: 23530.03
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
100 divided by 30 is 3 with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 23530.033
If we take 90 away from 100, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 23530.033, and the remainder is 0.001.