We look at the division of 377753 by 83 
Let's see how many times 83 fits into 377753.

Advancing to step 1:
When dividing 3 by 83, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 83

Moving on to step 2:
The number 83 fits into 37 0 times, leaving a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 37 to get 37.
Grab the next digit (7) from the dividend, add it to 37, then carry on: 377 / 83

Advancing to step 3:
377 divided by 83 is 4 with a remainder of 45.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 332 away from 377, we end up with 45.
Include the next digit (7) from the dividend after 45, then repeat: 457 / 83

Step 4:
The number 83 fits into 457 5 times, leaving a remainder of 42.
Write down 5 as next digit of the result. 
Result so far: 45.0
Subtracting 415 from 457 leaves us with 42.
Include the next digit (5) from the dividend after 42, then repeat: 425 / 83

Advancing to step 5:
425 divided by 83 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 455.0
Subtract 415 from 425 to get 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 83

Going ahead to step 6:
The number 83 fits into 103 1 times, leaving a remainder of 20.
Write down 1 as next digit of the result. 
Result so far: 4551.0
Subtract 83 from 103 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 7:
When dividing 200 by 83, we get 2 with a remainder of 34.
Put 2 as the next digit of the answer. 
Result so far: 4551.2
If we subtract 166 from 200, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 8:
If we divide 340 by 83, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 4551.24
Subtract 332 from 340 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 9:
If we divide 80 by 83, we get 0 and a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 4551.24
Subtract 0 from 80 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 10:
800 divided by 83 is 9 with a remainder of 53.
Record the quotient 9 as the next digit in the result. 
Result so far: 4551.2409
Subtracting 747 from 800 leaves us with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 11:
83 can be fit into 530 6 times, resulting in a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 4551.24096
Deduct 498 from 530 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 12:
83 goes into 320 3 times with a remainder of 71.
Put 3 as the next digit of the answer. 
Result so far: 4551.240963
Deduct 249 from 320 and we're left with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Step 13:
83 goes into 710 8 times with a remainder of 46.
Record the quotient 8 as the next digit in the result. 
Result so far: 4551.2409638
The remainder is 46 after subtracting 664 from 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 14:
If we divide 460 by 83, we get 5 and a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 4551.24096385
Deduct 415 from 460 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

The quotient of the division is 4551.24096385, and the remainder is 4.5e-08.