405774 ÷ 59 
Our goal is to divide 405774 by 59.

On to step 1:
59 goes into 4 0 times with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 59

Advancing to step 2:
59 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 40 after subtracting 0 from 40.
Take the next digit (5) from the dividend and append it to 40, then repeat: 405 / 59

On to step 3:
59 goes into 405 6 times with a remainder of 51.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 354 away from 405, we end up with 51.
Take the next digit (7) from the dividend and append it to 51, then repeat: 517 / 59

Step 4:
If we divide 517 by 59, we get 8 and a remainder of 45.
Put 8 as the next digit of the answer. 
Result so far: 68.0
Subtract 472 from 517 to get 45.
Take the next digit (7) from the dividend and append it to 45, then repeat: 457 / 59

Let's proceed to step 5:
59 can be fit into 457 7 times, resulting in a remainder of 44.
The number 7 becomes the next digit in our result. 
Result so far: 687.0
Subtract 413 from 457 to get 44.
Append the next digit (4) from the dividend to 44 and continue with: 444 / 59

Step 6:
When dividing 444 by 59, we get 7 with a remainder of 31.
Put 7 as the next digit of the answer. 
Result so far: 6877.0
Deduct 413 from 444 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
When dividing 310 by 59, we get 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 6877.5
If we subtract 295 from 310, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 8:
The number 59 fits into 150 2 times, leaving a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 6877.52
If we subtract 118 from 150, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 9:
59 can be fit into 320 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 6877.525
Subtract 295 from 320 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 10:
250 divided by 59 is 4 with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 6877.5254
If we subtract 236 from 250, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 11:
59 can be fit into 140 2 times, resulting in a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 6877.52542
Subtracting 118 from 140 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
If we divide 220 by 59, we get 3 and a remainder of 43.
Write down 3 as next digit of the result. 
Result so far: 6877.525423
Subtract 177 from 220 to get 43.
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 13:
When dividing 430 by 59, we get 7 with a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 6877.5254237
If we subtract 413 from 430, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 14:
59 goes into 170 2 times with a remainder of 52.
Put 2 as the next digit of the answer. 
Result so far: 6877.52542372
If we take 118 away from 170, we end up 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.

Our division results in 6877.52542372 with a remaining 5.2e-08.