37777257 divided by 523 
We want to divide 37777257 by 523.

Step 1:
If we divide 3 by 523, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 523

Step 2:
523 goes into 37 0 times with a remainder of 37.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 37 to get 37.
Take the next digit (7) from the dividend and append it to 37, then repeat: 377 / 523

Advancing to step 3:
523 can be fit into 377 0 times, resulting in a remainder of 377.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 377 and we're left with 377.
Append the next digit (7) from the dividend to 377 and continue with: 3777 / 523

Advancing to step 4:
When dividing 3777 by 523, we get 7 with a remainder of 116.
The next digit of our result is 7. 
Result so far: 7.0
Subtract 3661 from 3777 to get 116.
Grab the next digit (7) from the dividend, add it to 116, then carry on: 1167 / 523

Let's proceed to step 5:
523 can be fit into 1167 2 times, resulting in a remainder of 121.
The next digit of our result is 2. 
Result so far: 72.0
If we subtract 1046 from 1167, we get 121.
Append the next digit (2) from the dividend to 121 and continue with: 1212 / 523

Moving on to step 6:
523 can be fit into 1212 2 times, resulting in a remainder of 166.
Put 2 as the next digit of the answer. 
Result so far: 722.0
Subtracting 1046 from 1212 leaves us with 166.
Grab the next digit (5) from the dividend, add it to 166, then carry on: 1665 / 523

On to step 7:
The number 523 fits into 1665 3 times, leaving a remainder of 96.
Put 3 as the next digit of the answer. 
Result so far: 7223.0
The remainder is 96 after subtracting 1569 from 1665.
Bring next digit (7) of the dividend behind the 96 and repeat the process: 967 / 523

Moving on to step 8:
523 goes into 967 1 times with a remainder of 444.
The number 1 becomes the next digit in our result. 
Result so far: 72231.0
Subtracting 523 from 967 leaves us with 444.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4440, and continue the process.

Step 9:
If we divide 4440 by 523, we get 8 and a remainder of 256.
Use 8 as the next digit of our solution. 
Result so far: 72231.8
Subtracting 4184 from 4440 leaves us with 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Step 10:
If we divide 2560 by 523, we get 4 and a remainder of 468.
Put 4 as the next digit of the answer. 
Result so far: 72231.84
If we subtract 2092 from 2560, we get 468.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4680, and continue the process.

Moving on to step 11:
523 can be fit into 4680 8 times, resulting in a remainder of 496.
Put 8 as the next digit of the answer. 
Result so far: 72231.848
If we take 4184 away from 4680, we end up with 496.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4960, and continue the process.

Let's proceed to step 12:
The number 523 fits into 4960 9 times, leaving a remainder of 253.
Put 9 as the next digit of the answer. 
Result so far: 72231.8489
If we subtract 4707 from 4960, we 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.

Going ahead to step 13:
When dividing 2530 by 523, we get 4 with a remainder of 438.
Write down 4 as next digit of the result. 
Result so far: 72231.84894
The remainder is 438 after subtracting 2092 from 2530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4380, and continue the process.

Let's proceed to step 14:
When dividing 4380 by 523, we get 8 with a remainder of 196.
The number 8 becomes the next digit in our result. 
Result so far: 72231.848948
Subtracting 4184 from 4380 leaves us with 196.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1960, and continue the process.

Moving on to step 15:
523 can be fit into 1960 3 times, resulting in a remainder of 391.
Use 3 as the next digit of our solution. 
Result so far: 72231.8489483
Subtracting 1569 from 1960 leaves us with 391.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3910, and continue the process.

On to step 16:
523 goes into 3910 7 times with a remainder of 249.
Use 7 as the next digit of our solution. 
Result so far: 72231.84894837
The remainder is 249 after subtracting 3661 from 3910.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2490, and continue the process.

In conclusion, the division gives 72231.84894837 with a balance of 2.49e-07.