We divide 345977 by 67
Our goal is to divide 345977 by 67.

Step 1:
The number 67 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 67

On to step 2:
The number 67 fits into 34 0 times, leaving a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Bring next digit (5) of the dividend behind the 34 and repeat the process: 345 / 67

Step 3:
345 divided by 67 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we subtract 335 from 345, we get 10.
Append the next digit (9) from the dividend to 10 and continue with: 109 / 67

Step 4:
109 divided by 67 is 1 with a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
Subtracting 67 from 109 leaves us with 42.
Take the next digit (7) from the dividend and append it to 42, then repeat: 427 / 67

Going ahead to step 5:
67 can be fit into 427 6 times, resulting in a remainder of 25.
Use 6 as the next digit of our solution. 
Result so far: 516.0
Subtract 402 from 427 to get 25.
Fetch the next digit (7) from the dividend, attach it to 25 and continue: 257 / 67

Advancing to step 6:
257 divided by 67 is 3 with a remainder of 56.
Put 3 as the next digit of the answer. 
Result so far: 5163.0
Subtract 201 from 257 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 7:
560 divided by 67 is 8 with a remainder of 24.
The number 8 becomes the next digit in our result. 
Result so far: 5163.8
Deduct 536 from 560 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 8:
When dividing 240 by 67, we get 3 with a remainder of 39.
Put 3 as the next digit of the answer. 
Result so far: 5163.83
Subtract 201 from 240 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 9:
67 can be fit into 390 5 times, resulting in a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 5163.835
The remainder is 55 after subtracting 335 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 10:
67 can be fit into 550 8 times, resulting in a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 5163.8358
Subtract 536 from 550 to 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.

On to step 11:
67 goes into 140 2 times with a remainder of 6.
The next digit of our result is 2. 
Result so far: 5163.83582
If we take 134 away from 140, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 12:
The number 67 fits into 60 0 times, leaving a remainder of 60.
Use 0 as the next digit of our solution. 
Result so far: 5163.83582
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 13:
The number 67 fits into 600 8 times, leaving a remainder of 64.
The number 8 becomes the next digit in our result. 
Result so far: 5163.8358208
Subtract 536 from 600 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 14:
67 goes into 640 9 times with a remainder of 37.
Use 9 as the next digit of our solution. 
Result so far: 5163.83582089
If we subtract 603 from 640, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Our division results in 5163.83582089 with a remaining 3.7e-08.