6301777 ÷ 165 
Our goal is to divide 6301777 by 165.

Let's proceed to step 1:
The number 165 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 165

Going ahead to step 2:
165 goes into 63 0 times with a remainder of 63.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 63 and we're left with 63.
Take the next digit (0) from the dividend and append it to 63, then repeat: 630 / 165

Let's proceed to step 3:
165 can be fit into 630 3 times, resulting in a remainder of 135.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 495 from 630, we get 135.
Grab the next digit (1) from the dividend, add it to 135, then carry on: 1351 / 165

On to step 4:
When dividing 1351 by 165, we get 8 with a remainder of 31.
The next digit of our result is 8. 
Result so far: 38.0
If we take 1320 away from 1351, we end up with 31.
Append the next digit (7) from the dividend to 31 and continue with: 317 / 165

Moving on to step 5:
317 divided by 165 is 1 with a remainder of 152.
Use 1 as the next digit of our solution. 
Result so far: 381.0
If we subtract 165 from 317, we get 152.
Grab the next digit (7) from the dividend, add it to 152, then carry on: 1527 / 165

On to step 6:
The number 165 fits into 1527 9 times, leaving a remainder of 42.
Put 9 as the next digit of the answer. 
Result so far: 3819.0
If we take 1485 away from 1527, we end up with 42.
Fetch the next digit (7) from the dividend, attach it to 42 and continue: 427 / 165

Step 7:
When dividing 427 by 165, we get 2 with a remainder of 97.
The number 2 becomes the next digit in our result. 
Result so far: 38192.0
Subtracting 330 from 427 leaves us with 97.
Since there are no more digits in the dividend, we add a zero to the remainder making it 970, and continue the process.

On to step 8:
970 divided by 165 is 5 with a remainder of 145.
Put 5 as the next digit of the answer. 
Result so far: 38192.5
Subtracting 825 from 970 leaves us with 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

Moving on to step 9:
When dividing 1450 by 165, we get 8 with a remainder of 130.
Use 8 as the next digit of our solution. 
Result so far: 38192.58
Subtracting 1320 from 1450 leaves us with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Advancing to step 10:
If we divide 1300 by 165, we get 7 and a remainder of 145.
Put 7 as the next digit of the answer. 
Result so far: 38192.587
The remainder is 145 after subtracting 1155 from 1300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

Let's proceed to step 11:
The number 165 fits into 1450 8 times, leaving a remainder of 130.
The number 8 becomes the next digit in our result. 
Result so far: 38192.5878
If we take 1320 away from 1450, we end up with 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Advancing to step 12:
If we divide 1300 by 165, we get 7 and a remainder of 145.
The number 7 becomes the next digit in our result. 
Result so far: 38192.58787
If we take 1155 away from 1300, we end up with 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

On to step 13:
When dividing 1450 by 165, we get 8 with a remainder of 130.
The next digit of our result is 8. 
Result so far: 38192.587878
The remainder is 130 after subtracting 1320 from 1450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Going ahead to step 14:
165 goes into 1300 7 times with a remainder of 145.
Use 7 as the next digit of our solution. 
Result so far: 38192.5878787
Subtracting 1155 from 1300 leaves us with 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

Advancing to step 15:
If we divide 1450 by 165, we get 8 and a remainder of 130.
Record the quotient 8 as the next digit in the result. 
Result so far: 38192.58787878
If we subtract 1320 from 1450, we get 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

In conclusion, the division gives 38192.58787878 with a balance of 1.3e-07.