We're dividing 37758885 by 971 
We want to divide 37758885 by 971.

Moving on to step 1:
The number 971 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 971

Advancing to step 2:
971 can be fit into 37 0 times, resulting in a remainder of 37.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Append the next digit (7) from the dividend to 37 and continue with: 377 / 971

Moving on to step 3:
971 goes into 377 0 times with 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.
Take the next digit (5) from the dividend and append it to 377, then repeat: 3775 / 971

Let's proceed to step 4:
If we divide 3775 by 971, we get 3 and a remainder of 862.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we subtract 2913 from 3775, we get 862.
Bring next digit (8) of the dividend behind the 862 and repeat the process: 8628 / 971

On to step 5:
When dividing 8628 by 971, we get 8 with a remainder of 860.
Use 8 as the next digit of our solution. 
Result so far: 38.0
The remainder is 860 after subtracting 7768 from 8628.
Grab the next digit (8) from the dividend, add it to 860, then carry on: 8608 / 971

Going ahead to step 6:
8608 divided by 971 is 8 with a remainder of 840.
Record the quotient 8 as the next digit in the result. 
Result so far: 388.0
If we subtract 7768 from 8608, we get 840.
Grab the next digit (8) from the dividend, add it to 840, then carry on: 8408 / 971

Step 7:
If we divide 8408 by 971, we get 8 and a remainder of 640.
Use 8 as the next digit of our solution. 
Result so far: 3888.0
Subtract 7768 from 8408 to get 640.
Append the next digit (5) from the dividend to 640 and continue with: 6405 / 971

Let's proceed to step 8:
The number 971 fits into 6405 6 times, leaving a remainder of 579.
Use 6 as the next digit of our solution. 
Result so far: 38886.0
The remainder is 579 after subtracting 5826 from 6405.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5790, and continue the process.

Advancing to step 9:
If we divide 5790 by 971, we get 5 and a remainder of 935.
Write down 5 as next digit of the result. 
Result so far: 38886.5
If we subtract 4855 from 5790, we get 935.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9350, and continue the process.

On to step 10:
If we divide 9350 by 971, we get 9 and a remainder of 611.
Write down 9 as next digit of the result. 
Result so far: 38886.59
If we subtract 8739 from 9350, we get 611.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6110, and continue the process.

Step 11:
971 goes into 6110 6 times with a remainder of 284.
The next digit of our result is 6. 
Result so far: 38886.596
Deduct 5826 from 6110 and we're left with 284.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2840, and continue the process.

Step 12:
The number 971 fits into 2840 2 times, leaving a remainder of 898.
The number 2 becomes the next digit in our result. 
Result so far: 38886.5962
Subtracting 1942 from 2840 leaves us with 898.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8980, and continue the process.

Step 13:
8980 divided by 971 is 9 with a remainder of 241.
Use 9 as the next digit of our solution. 
Result so far: 38886.59629
Subtracting 8739 from 8980 leaves us with 241.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2410, and continue the process.

Going ahead to step 14:
2410 divided by 971 is 2 with a remainder of 468.
Record the quotient 2 as the next digit in the result. 
Result so far: 38886.596292
If we take 1942 away from 2410, we end up with 468.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4680, and continue the process.

On to step 15:
If we divide 4680 by 971, we get 4 and a remainder of 796.
Use 4 as the next digit of our solution. 
Result so far: 38886.5962924
If we take 3884 away from 4680, we end up with 796.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7960, and continue the process.

Advancing to step 16:
971 goes into 7960 8 times with a remainder of 192.
Put 8 as the next digit of the answer. 
Result so far: 38886.59629248
If we take 7768 away from 7960, we end up with 192.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1920, and continue the process.

The quotient of the division is 38886.59629248, and the remainder is 1.92e-07.