We divide 431977 by 10
Let's see how many times 10 fits into 431977.

Step 1:
4 divided by 10 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 10

Advancing to step 2:
When dividing 43 by 10, we get 4 with a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 4.0
Deduct 40 from 43 and we're left with 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 10

Step 3:
10 goes into 31 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 43.0
If we subtract 30 from 31, we get 1.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 10

Going ahead to step 4:
10 can be fit into 19 1 times, resulting in a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 431.0
Deduct 10 from 19 and we're left with 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 10

Advancing to step 5:
The number 10 fits into 97 9 times, leaving a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 4319.0
Subtracting 90 from 97 leaves us with 7.
Include the next digit (7) from the dividend after 7, then repeat: 77 / 10

Let's proceed to step 6:
77 divided by 10 is 7 with a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 43197.0
Deduct 70 from 77 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
70 divided by 10 is 7 with a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 43197.7
The remainder is 0 after subtracting 70 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
10 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 43197.7
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
10 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 43197.7
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final outcome is 43197.7, with a leftover of 0.0.