37776899 ÷ 806 
Our goal is to divide 37776899 by 806.

On to step 1:
If we divide 3 by 806, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
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 / 806

Moving on to step 2:
806 can be fit into 37 0 times, resulting in a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 37 to get 37.
Fetch the next digit (7) from the dividend, attach it to 37 and continue: 377 / 806

Let's proceed to step 3:
If we divide 377 by 806, we get 0 and a remainder of 377.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 377 to get 377.
Fetch the next digit (7) from the dividend, attach it to 377 and continue: 3777 / 806

Advancing to step 4:
806 goes into 3777 4 times with a remainder of 553.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 3224 away from 3777, we end up with 553.
Append the next digit (6) from the dividend to 553 and continue with: 5536 / 806

Step 5:
806 goes into 5536 6 times with a remainder of 700.
Use 6 as the next digit of our solution. 
Result so far: 46.0
Subtracting 4836 from 5536 leaves us with 700.
Fetch the next digit (8) from the dividend, attach it to 700 and continue: 7008 / 806

Moving on to step 6:
7008 divided by 806 is 8 with a remainder of 560.
The number 8 becomes the next digit in our result. 
Result so far: 468.0
If we take 6448 away from 7008, we end up with 560.
Append the next digit (9) from the dividend to 560 and continue with: 5609 / 806

Moving on to step 7:
The number 806 fits into 5609 6 times, leaving a remainder of 773.
The number 6 becomes the next digit in our result. 
Result so far: 4686.0
If we subtract 4836 from 5609, we get 773.
Bring next digit (9) of the dividend behind the 773 and repeat the process: 7739 / 806

On to step 8:
806 goes into 7739 9 times with a remainder of 485.
Put 9 as the next digit of the answer. 
Result so far: 46869.0
Subtract 7254 from 7739 to get 485.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4850, and continue the process.

Advancing to step 9:
4850 divided by 806 is 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 46869.6
If we take 4836 away from 4850, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 10:
When dividing 140 by 806, we get 0 with a remainder of 140.
Write down 0 as next digit of the result. 
Result so far: 46869.6
Deduct 0 from 140 and we're left with 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1400, and continue the process.

Advancing to step 11:
806 goes into 1400 1 times with a remainder of 594.
Write down 1 as next digit of the result. 
Result so far: 46869.601
If we subtract 806 from 1400, we get 594.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5940, and continue the process.

Going ahead to step 12:
806 goes into 5940 7 times with a remainder of 298.
Put 7 as the next digit of the answer. 
Result so far: 46869.6017
If we subtract 5642 from 5940, we get 298.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2980, and continue the process.

On to step 13:
The number 806 fits into 2980 3 times, leaving a remainder of 562.
Write down 3 as next digit of the result. 
Result so far: 46869.60173
The remainder is 562 after subtracting 2418 from 2980.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5620, and continue the process.

Advancing to step 14:
806 goes into 5620 6 times with a remainder of 784.
Write down 6 as next digit of the result. 
Result so far: 46869.601736
Deduct 4836 from 5620 and we're left with 784.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7840, and continue the process.

On to step 15:
806 goes into 7840 9 times with a remainder of 586.
The number 9 becomes the next digit in our result. 
Result so far: 46869.6017369
If we subtract 7254 from 7840, we get 586.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5860, and continue the process.

Advancing to step 16:
806 can be fit into 5860 7 times, resulting in a remainder of 218.
Write down 7 as next digit of the result. 
Result so far: 46869.60173697
Deduct 5642 from 5860 and we're left with 218.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2180, and continue the process.

The final result is 46869.60173697 with a remainder of 2.18e-07.