We're dividing 71958 by 51 
We're looking to find how many times 51 goes into 71958.

On to step 1:
When dividing 7 by 51, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 51

Advancing to step 2:
51 goes into 71 1 times with a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 51 from 71 leaves us with 20.
Fetch the next digit (9) from the dividend, attach it to 20 and continue: 209 / 51

On to step 3:
When dividing 209 by 51, we get 4 with a remainder of 5.
Write down 4 as next digit of the result. 
Result so far: 14.0
If we take 204 away from 209, we end up with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 51

Moving on to step 4:
The number 51 fits into 55 1 times, leaving a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 141.0
Subtracting 51 from 55 leaves us with 4.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 51

Step 5:
51 goes into 48 0 times with a remainder of 48.
Write down 0 as next digit of the result. 
Result so far: 1410.0
The remainder is 48 after subtracting 0 from 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 6:
The number 51 fits into 480 9 times, leaving a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 1410.9
If we take 459 away from 480, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 7:
When dividing 210 by 51, we get 4 with a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 1410.94
If we subtract 204 from 210, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
51 can be fit into 60 1 times, resulting in a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1410.941
If we take 51 away from 60, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 9:
51 can be fit into 90 1 times, resulting in a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 1410.9411
Deduct 51 from 90 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Our division results in 1410.9411 with a remaining 0.00039.