76213586 ÷ 637 
Let's see how many times 637 fits into 76213586.

On to step 1:
637 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 637

Step 2:
When dividing 76 by 637, we get 0 with a remainder of 76.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 76 leaves us with 76.
Grab the next digit (2) from the dividend, add it to 76, then carry on: 762 / 637

Advancing to step 3:
The number 637 fits into 762 1 times, leaving a remainder of 125.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 637 from 762 and we're left with 125.
Include the next digit (1) from the dividend after 125, then repeat: 1251 / 637

Let's proceed to step 4:
637 can be fit into 1251 1 times, resulting in a remainder of 614.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we take 637 away from 1251, we end up with 614.
Append the next digit (3) from the dividend to 614 and continue with: 6143 / 637

Advancing to step 5:
If we divide 6143 by 637, we get 9 and a remainder of 410.
Write down 9 as next digit of the result. 
Result so far: 119.0
Subtract 5733 from 6143 to get 410.
Take the next digit (5) from the dividend and append it to 410, then repeat: 4105 / 637

Let's proceed to step 6:
637 can be fit into 4105 6 times, resulting in a remainder of 283.
The next digit of our result is 6. 
Result so far: 1196.0
Subtracting 3822 from 4105 leaves us with 283.
Fetch the next digit (8) from the dividend, attach it to 283 and continue: 2838 / 637

Going ahead to step 7:
637 can be fit into 2838 4 times, resulting in a remainder of 290.
Use 4 as the next digit of our solution. 
Result so far: 11964.0
Subtracting 2548 from 2838 leaves us with 290.
Fetch the next digit (6) from the dividend, attach it to 290 and continue: 2906 / 637

On to step 8:
The number 637 fits into 2906 4 times, leaving a remainder of 358.
Write down 4 as next digit of the result. 
Result so far: 119644.0
If we subtract 2548 from 2906, we get 358.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3580, and continue the process.

Advancing to step 9:
When dividing 3580 by 637, we get 5 with a remainder of 395.
Use 5 as the next digit of our solution. 
Result so far: 119644.5
Subtracting 3185 from 3580 leaves us with 395.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3950, and continue the process.

Step 10:
If we divide 3950 by 637, we get 6 and a remainder of 128.
Use 6 as the next digit of our solution. 
Result so far: 119644.56
Subtracting 3822 from 3950 leaves us with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Step 11:
The number 637 fits into 1280 2 times, leaving a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 119644.562
Subtract 1274 from 1280 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 12:
637 can be fit into 60 0 times, resulting in a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 119644.562
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 13:
If we divide 600 by 637, we get 0 and a remainder of 600.
Use 0 as the next digit of our solution. 
Result so far: 119644.562
Deduct 0 from 600 and we're left with 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

In conclusion, the division gives 119644.562 with a balance of 0.0006.