We look at the division of 376206 by 83 
Our goal is to divide 376206 by 83.

On to step 1:
The number 83 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (7) from the dividend and append it to 3, then repeat: 37 / 83

On to step 2:
83 goes into 37 0 times with a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Append the next digit (6) from the dividend to 37 and continue with: 376 / 83

On to step 3:
376 divided by 83 is 4 with a remainder of 44.
Write down 4 as next digit of the result. 
Result so far: 4.0
Subtract 332 from 376 to get 44.
Fetch the next digit (2) from the dividend, attach it to 44 and continue: 442 / 83

Going ahead to step 4:
83 can be fit into 442 5 times, resulting in a remainder of 27.
Put 5 as the next digit of the answer. 
Result so far: 45.0
Subtract 415 from 442 to get 27.
Take the next digit (0) from the dividend and append it to 27, then repeat: 270 / 83

Going ahead to step 5:
270 divided by 83 is 3 with a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 453.0
If we subtract 249 from 270, we get 21.
Bring next digit (6) of the dividend behind the 21 and repeat the process: 216 / 83

On to step 6:
216 divided by 83 is 2 with a remainder of 50.
Write down 2 as next digit of the result. 
Result so far: 4532.0
Deduct 166 from 216 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 7:
83 goes into 500 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 4532.6
Subtracting 498 from 500 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
The number 83 fits into 20 0 times, leaving a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 4532.6
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 9:
When dividing 200 by 83, we get 2 with a remainder of 34.
The number 2 becomes the next digit in our result. 
Result so far: 4532.602
The remainder is 34 after subtracting 166 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 10:
83 goes into 340 4 times with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 4532.6024
Deduct 332 from 340 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 11:
83 can be fit into 80 0 times, resulting in a remainder of 80.
Record the quotient 0 as the next digit in the result. 
Result so far: 4532.6024
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.

Going ahead to step 12:
If we divide 800 by 83, we get 9 and a remainder of 53.
Put 9 as the next digit of the answer. 
Result so far: 4532.602409
If we take 747 away from 800, we end up 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.

On to step 13:
83 can be fit into 530 6 times, resulting in a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 4532.6024096
If we take 498 away from 530, we end up 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.

Going ahead to step 14:
320 divided by 83 is 3 with a remainder of 71.
Use 3 as the next digit of our solution. 
Result so far: 4532.60240963
Subtract 249 from 320 to get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

The quotient of the division is 4532.60240963, and the remainder is 7.1e-08.