We look at the division of 431961 by 59 
We're looking to find how many times 59 goes into 431961.

On to step 1:
59 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Bring next digit (3) of the dividend behind the 4 and repeat the process: 43 / 59

Step 2:
When dividing 43 by 59, we get 0 with a remainder of 43.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 43 to get 43.
Append the next digit (1) from the dividend to 43 and continue with: 431 / 59

Let's proceed to step 3:
59 can be fit into 431 7 times, resulting in a remainder of 18.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we subtract 413 from 431, we get 18.
Bring next digit (9) of the dividend behind the 18 and repeat the process: 189 / 59

Moving on to step 4:
59 can be fit into 189 3 times, resulting in a remainder of 12.
Use 3 as the next digit of our solution. 
Result so far: 73.0
If we take 177 away from 189, we end up with 12.
Take the next digit (6) from the dividend and append it to 12, then repeat: 126 / 59

Going ahead to step 5:
The number 59 fits into 126 2 times, leaving a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 732.0
The remainder is 8 after subtracting 118 from 126.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 59

Moving on to step 6:
59 can be fit into 81 1 times, resulting in a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 7321.0
Subtract 59 from 81 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 7:
220 divided by 59 is 3 with a remainder of 43.
Put 3 as the next digit of the answer. 
Result so far: 7321.3
The remainder is 43 after subtracting 177 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 8:
59 can be fit into 430 7 times, resulting in a remainder of 17.
The next digit of our result is 7. 
Result so far: 7321.37
The remainder is 17 after subtracting 413 from 430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 9:
The number 59 fits into 170 2 times, leaving a remainder of 52.
Record the quotient 2 as the next digit in the result. 
Result so far: 7321.372
Deduct 118 from 170 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 10:
59 goes into 520 8 times with a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 7321.3728
Deduct 472 from 520 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 11:
When dividing 480 by 59, we get 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 7321.37288
If we take 472 away from 480, 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.

In conclusion, the division gives 7321.37288 with a balance of 8e-06.