We divide 381375 by 690
We want to figure out the number of times 381375 can be divided by 690.

Advancing to step 1:
If we divide 3 by 690, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 690

Step 2:
The number 690 fits into 38 0 times, leaving a remainder of 38.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 38, we end up with 38.
Take the next digit (1) from the dividend and append it to 38, then repeat: 381 / 690

On to step 3:
690 goes into 381 0 times with a remainder of 381.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 381 and we're left with 381.
Fetch the next digit (3) from the dividend, attach it to 381 and continue: 3813 / 690

Moving on to step 4:
690 goes into 3813 5 times with a remainder of 363.
The next digit of our result is 5. 
Result so far: 5.0
If we take 3450 away from 3813, we end up with 363.
Grab the next digit (7) from the dividend, add it to 363, then carry on: 3637 / 690

Going ahead to step 5:
3637 divided by 690 is 5 with a remainder of 187.
The next digit of our result is 5. 
Result so far: 55.0
Subtracting 3450 from 3637 leaves us with 187.
Include the next digit (5) from the dividend after 187, then repeat: 1875 / 690

On to step 6:
When dividing 1875 by 690, we get 2 with a remainder of 495.
Write down 2 as next digit of the result. 
Result so far: 552.0
Subtracting 1380 from 1875 leaves us with 495.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4950, and continue the process.

Step 7:
4950 divided by 690 is 7 with a remainder of 120.
The next digit of our result is 7. 
Result so far: 552.7
Deduct 4830 from 4950 and we're left with 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Moving on to step 8:
The number 690 fits into 1200 1 times, leaving a remainder of 510.
Put 1 as the next digit of the answer. 
Result so far: 552.71
Subtracting 690 from 1200 leaves us with 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5100, and continue the process.

Advancing to step 9:
When dividing 5100 by 690, we get 7 with a remainder of 270.
Record the quotient 7 as the next digit in the result. 
Result so far: 552.717
If we take 4830 away from 5100, we end up with 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2700, and continue the process.

Moving on to step 10:
If we divide 2700 by 690, we get 3 and a remainder of 630.
Record the quotient 3 as the next digit in the result. 
Result so far: 552.7173
If we take 2070 away from 2700, we end up with 630.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6300, and continue the process.

Going ahead to step 11:
690 goes into 6300 9 times with a remainder of 90.
The next digit of our result is 9. 
Result so far: 552.71739
If we take 6210 away from 6300, we end up with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Advancing to step 12:
690 goes into 900 1 times with a remainder of 210.
The next digit of our result is 1. 
Result so far: 552.717391
Deduct 690 from 900 and we're left with 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2100, and continue the process.

Let's proceed to step 13:
690 goes into 2100 3 times with a remainder of 30.
Put 3 as the next digit of the answer. 
Result so far: 552.7173913
Deduct 2070 from 2100 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 14:
300 divided by 690 is 0 with a remainder of 300.
Write down 0 as next digit of the result. 
Result so far: 552.7173913
Subtracting 0 from 300 leaves us with 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3000, and continue the process.

Our division results in 552.7173913 with a remaining 3e-07.