412677 divided by 354 
Our goal is to divide 412677 by 354.

Moving on to step 1:
354 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 354

Advancing to step 2:
When dividing 41 by 354, we get 0 with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Take the next digit (2) from the dividend and append it to 41, then repeat: 412 / 354

Going ahead to step 3:
The number 354 fits into 412 1 times, leaving a remainder of 58.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 354 from 412, we get 58.
Take the next digit (6) from the dividend and append it to 58, then repeat: 586 / 354

Going ahead to step 4:
The number 354 fits into 586 1 times, leaving a remainder of 232.
Use 1 as the next digit of our solution. 
Result so far: 11.0
Deduct 354 from 586 and we're left with 232.
Bring next digit (7) of the dividend behind the 232 and repeat the process: 2327 / 354

Moving on to step 5:
2327 divided by 354 is 6 with a remainder of 203.
Write down 6 as next digit of the result. 
Result so far: 116.0
If we take 2124 away from 2327, we end up with 203.
Take the next digit (7) from the dividend and append it to 203, then repeat: 2037 / 354

Advancing to step 6:
2037 divided by 354 is 5 with a remainder of 267.
The next digit of our result is 5. 
Result so far: 1165.0
Deduct 1770 from 2037 and we're left with 267.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2670, and continue the process.

Moving on to step 7:
When dividing 2670 by 354, we get 7 with a remainder of 192.
Record the quotient 7 as the next digit in the result. 
Result so far: 1165.7
The remainder is 192 after subtracting 2478 from 2670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

Let's proceed to step 8:
If we divide 1920 by 354, we get 5 and a remainder of 150.
The number 5 becomes the next digit in our result. 
Result so far: 1165.75
If we take 1770 away from 1920, we end up with 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

On to step 9:
1500 divided by 354 is 4 with a remainder of 84.
The number 4 becomes the next digit in our result. 
Result so far: 1165.754
The remainder is 84 after subtracting 1416 from 1500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Going ahead to step 10:
354 can be fit into 840 2 times, resulting in a remainder of 132.
The next digit of our result is 2. 
Result so far: 1165.7542
If we take 708 away from 840, we end up with 132.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1320, and continue the process.

Let's proceed to step 11:
If we divide 1320 by 354, we get 3 and a remainder of 258.
Write down 3 as next digit of the result. 
Result so far: 1165.75423
If we take 1062 away from 1320, we end up with 258.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2580, and continue the process.

Moving on to step 12:
The number 354 fits into 2580 7 times, leaving a remainder of 102.
The next digit of our result is 7. 
Result so far: 1165.754237
If we take 2478 away from 2580, we end up with 102.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

Advancing to step 13:
354 can be fit into 1020 2 times, resulting in a remainder of 312.
Put 2 as the next digit of the answer. 
Result so far: 1165.7542372
If we take 708 away from 1020, we end up with 312.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3120, and continue the process.

On to step 14:
The number 354 fits into 3120 8 times, leaving a remainder of 288.
Put 8 as the next digit of the answer. 
Result so far: 1165.75423728
Subtract 2832 from 3120 to get 288.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2880, and continue the process.

The final result is 1165.75423728 with a remainder of 2.88e-07.