376671 ÷ 37 
Our goal is to divide 376671 by 37.

Advancing to step 1:
The number 37 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 37

On to step 2:
37 divided by 37 is 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 0 after subtracting 37 from 37.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 37

Step 3:
37 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 6 after subtracting 0 from 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 37

Going ahead to step 4:
37 can be fit into 66 1 times, resulting in a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 101.0
If we subtract 37 from 66, we get 29.
Append the next digit (7) from the dividend to 29 and continue with: 297 / 37

Going ahead to step 5:
297 divided by 37 is 8 with a remainder of 1.
Write down 8 as next digit of the result. 
Result so far: 1018.0
Subtracting 296 from 297 leaves us with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 37

Moving on to step 6:
The number 37 fits into 11 0 times, leaving a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 10180.0
Subtracting 0 from 11 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 7:
The number 37 fits into 110 2 times, leaving a remainder of 36.
The next digit of our result is 2. 
Result so far: 10180.2
If we subtract 74 from 110, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 8:
If we divide 360 by 37, we get 9 and a remainder of 27.
The number 9 becomes the next digit in our result. 
Result so far: 10180.29
If we take 333 away from 360, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 9:
The number 37 fits into 270 7 times, leaving a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 10180.297
If we subtract 259 from 270, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 10:
37 goes into 110 2 times with a remainder of 36.
The next digit of our result is 2. 
Result so far: 10180.2972
Subtracting 74 from 110 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 11:
37 can be fit into 360 9 times, resulting in a remainder of 27.
The next digit of our result is 9. 
Result so far: 10180.29729
Subtract 333 from 360 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 12:
37 goes into 270 7 times with a remainder of 11.
The next digit of our result is 7. 
Result so far: 10180.297297
Subtracting 259 from 270 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 13:
37 can be fit into 110 2 times, resulting in a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 10180.2972972
Subtract 74 from 110 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 14:
360 divided by 37 is 9 with a remainder of 27.
Use 9 as the next digit of our solution. 
Result so far: 10180.29729729
If we take 333 away from 360, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

The final result is 10180.29729729 with a remainder of 2.7e-08.