106638 divided by 379 
Let's see how many times 379 fits into 106638.

Step 1:
If we divide 1 by 379, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 379

Step 2:
If we divide 10 by 379, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (6) from the dividend after 10, then repeat: 106 / 379

Advancing to step 3:
When dividing 106 by 379, we get 0 with a remainder of 106.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 106, we get 106.
Bring next digit (6) of the dividend behind the 106 and repeat the process: 1066 / 379

Going ahead to step 4:
379 goes into 1066 2 times with a remainder of 308.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 758 from 1066 and we're left with 308.
Include the next digit (3) from the dividend after 308, then repeat: 3083 / 379

On to step 5:
If we divide 3083 by 379, we get 8 and a remainder of 51.
Put 8 as the next digit of the answer. 
Result so far: 28.0
If we subtract 3032 from 3083, we get 51.
Include the next digit (8) from the dividend after 51, then repeat: 518 / 379

On to step 6:
The number 379 fits into 518 1 times, leaving a remainder of 139.
Record the quotient 1 as the next digit in the result. 
Result so far: 281.0
Subtracting 379 from 518 leaves us with 139.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1390, and continue the process.

On to step 7:
379 goes into 1390 3 times with a remainder of 253.
Put 3 as the next digit of the answer. 
Result so far: 281.3
Subtract 1137 from 1390 to get 253.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2530, and continue the process.

Step 8:
If we divide 2530 by 379, we get 6 and a remainder of 256.
Put 6 as the next digit of the answer. 
Result so far: 281.36
Subtract 2274 from 2530 to get 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Going ahead to step 9:
379 can be fit into 2560 6 times, resulting in a remainder of 286.
Put 6 as the next digit of the answer. 
Result so far: 281.366
The remainder is 286 after subtracting 2274 from 2560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2860, and continue the process.

After the division, we end up with 281.366 and a remainder of 0.0286.