We're dividing 376738 by 178 
Our goal is to divide 376738 by 178.

Let's proceed to step 1:
178 can be fit into 3 0 times, resulting in a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 178

On to step 2:
When dividing 37 by 178, we get 0 with a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Bring next digit (6) of the dividend behind the 37 and repeat the process: 376 / 178

Moving on to step 3:
178 can be fit into 376 2 times, resulting in a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 356 away from 376, we end up with 20.
Append the next digit (7) from the dividend to 20 and continue with: 207 / 178

Going ahead to step 4:
The number 178 fits into 207 1 times, leaving a remainder of 29.
The next digit of our result is 1. 
Result so far: 21.0
Subtract 178 from 207 to get 29.
Append the next digit (3) from the dividend to 29 and continue with: 293 / 178

Moving on to step 5:
When dividing 293 by 178, we get 1 with a remainder of 115.
The number 1 becomes the next digit in our result. 
Result so far: 211.0
Deduct 178 from 293 and we're left with 115.
Include the next digit (8) from the dividend after 115, then repeat: 1158 / 178

Advancing to step 6:
If we divide 1158 by 178, we get 6 and a remainder of 90.
The number 6 becomes the next digit in our result. 
Result so far: 2116.0
The remainder is 90 after subtracting 1068 from 1158.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Moving on to step 7:
178 goes into 900 5 times with a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 2116.5
Subtract 890 from 900 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
If we divide 100 by 178, we get 0 and a remainder of 100.
The number 0 becomes the next digit in our result. 
Result so far: 2116.5
Subtract 0 from 100 to get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

Let's proceed to step 9:
178 can be fit into 1000 5 times, resulting in a remainder of 110.
Write down 5 as next digit of the result. 
Result so far: 2116.505
If we subtract 890 from 1000, we get 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

Moving on to step 10:
178 goes into 1100 6 times with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 2116.5056
Deduct 1068 from 1100 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.

Advancing to step 11:
The number 178 fits into 320 1 times, leaving a remainder of 142.
Write down 1 as next digit of the result. 
Result so far: 2116.50561
Deduct 178 from 320 and we're left with 142.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1420, and continue the process.

Moving on to step 12:
178 can be fit into 1420 7 times, resulting in a remainder of 174.
Record the quotient 7 as the next digit in the result. 
Result so far: 2116.505617
The remainder is 174 after subtracting 1246 from 1420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1740, and continue the process.

Step 13:
178 can be fit into 1740 9 times, resulting in a remainder of 138.
The number 9 becomes the next digit in our result. 
Result so far: 2116.5056179
If we take 1602 away from 1740, we end up with 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

On to step 14:
If we divide 1380 by 178, we get 7 and a remainder of 134.
The next digit of our result is 7. 
Result so far: 2116.50561797
Subtract 1246 from 1380 to get 134.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1340, and continue the process.

The final outcome is 2116.50561797, with a leftover of 1.34e-07.