37718103 ÷ 678 
Our goal is to divide 37718103 by 678.

On to step 1:
If we divide 3 by 678, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 678

Going ahead to step 2:
If we divide 37 by 678, we get 0 and a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Take the next digit (7) from the dividend and append it to 37, then repeat: 377 / 678

Step 3:
When dividing 377 by 678, we get 0 with a remainder of 377.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 377 to get 377.
Bring next digit (1) of the dividend behind the 377 and repeat the process: 3771 / 678

Moving on to step 4:
The number 678 fits into 3771 5 times, leaving a remainder of 381.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 3390 from 3771, we get 381.
Append the next digit (8) from the dividend to 381 and continue with: 3818 / 678

Moving on to step 5:
If we divide 3818 by 678, we get 5 and a remainder of 428.
Record the quotient 5 as the next digit in the result. 
Result so far: 55.0
If we subtract 3390 from 3818, we get 428.
Fetch the next digit (1) from the dividend, attach it to 428 and continue: 4281 / 678

Moving on to step 6:
4281 divided by 678 is 6 with a remainder of 213.
Put 6 as the next digit of the answer. 
Result so far: 556.0
If we subtract 4068 from 4281, we get 213.
Bring next digit (0) of the dividend behind the 213 and repeat the process: 2130 / 678

Advancing to step 7:
When dividing 2130 by 678, we get 3 with a remainder of 96.
Record the quotient 3 as the next digit in the result. 
Result so far: 5563.0
Subtract 2034 from 2130 to get 96.
Take the next digit (3) from the dividend and append it to 96, then repeat: 963 / 678

Let's proceed to step 8:
The number 678 fits into 963 1 times, leaving a remainder of 285.
Use 1 as the next digit of our solution. 
Result so far: 55631.0
Subtract 678 from 963 to get 285.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2850, and continue the process.

On to step 9:
678 goes into 2850 4 times with a remainder of 138.
Put 4 as the next digit of the answer. 
Result so far: 55631.4
If we subtract 2712 from 2850, we get 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

Step 10:
If we divide 1380 by 678, we get 2 and a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 55631.42
The remainder is 24 after subtracting 1356 from 1380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 11:
When dividing 240 by 678, we get 0 with a remainder of 240.
Write down 0 as next digit of the result. 
Result so far: 55631.42
If we take 0 away from 240, we end up with 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Moving on to step 12:
678 can be fit into 2400 3 times, resulting in a remainder of 366.
The number 3 becomes the next digit in our result. 
Result so far: 55631.4203
Deduct 2034 from 2400 and we're left with 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3660, and continue the process.

Let's proceed to step 13:
If we divide 3660 by 678, we get 5 and a remainder of 270.
Record the quotient 5 as the next digit in the result. 
Result so far: 55631.42035
Subtracting 3390 from 3660 leaves us 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 14:
678 can be fit into 2700 3 times, resulting in a remainder of 666.
The next digit of our result is 3. 
Result so far: 55631.420353
Subtract 2034 from 2700 to get 666.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6660, and continue the process.

Advancing to step 15:
678 goes into 6660 9 times with a remainder of 558.
Record the quotient 9 as the next digit in the result. 
Result so far: 55631.4203539
The remainder is 558 after subtracting 6102 from 6660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5580, and continue the process.

Step 16:
678 can be fit into 5580 8 times, resulting in a remainder of 156.
The next digit of our result is 8. 
Result so far: 55631.42035398
Subtracting 5424 from 5580 leaves us with 156.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Our division results in 55631.42035398 with a remaining 1.56e-07.