We're dividing 632642 by 59 
We want to figure out the number of times 632642 can be divided by 59.

Let's proceed to step 1:
59 goes into 6 0 times with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 59

Let's proceed to step 2:
63 divided by 59 is 1 with a remainder of 4.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 59 from 63 to get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 59

Let's proceed to step 3:
The number 59 fits into 42 0 times, leaving a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 42 and we're left with 42.
Bring next digit (6) of the dividend behind the 42 and repeat the process: 426 / 59

Advancing to step 4:
426 divided by 59 is 7 with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 107.0
If we subtract 413 from 426, we get 13.
Fetch the next digit (4) from the dividend, attach it to 13 and continue: 134 / 59

Moving on to step 5:
When dividing 134 by 59, we get 2 with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 1072.0
Subtract 118 from 134 to get 16.
Bring next digit (2) of the dividend behind the 16 and repeat the process: 162 / 59

Step 6:
When dividing 162 by 59, we get 2 with a remainder of 44.
The next digit of our result is 2. 
Result so far: 10722.0
Subtract 118 from 162 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 7:
59 goes into 440 7 times with a remainder of 27.
Use 7 as the next digit of our solution. 
Result so far: 10722.7
Deduct 413 from 440 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 8:
When dividing 270 by 59, we get 4 with a remainder of 34.
Write down 4 as next digit of the result. 
Result so far: 10722.74
Deduct 236 from 270 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 9:
59 goes into 340 5 times with a remainder of 45.
Put 5 as the next digit of the answer. 
Result so far: 10722.745
Subtract 295 from 340 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 10:
If we divide 450 by 59, we get 7 and a remainder of 37.
The next digit of our result is 7. 
Result so far: 10722.7457
If we subtract 413 from 450, we get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Moving on to step 11:
370 divided by 59 is 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 10722.74576
If we subtract 354 from 370, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 12:
160 divided by 59 is 2 with a remainder of 42.
Use 2 as the next digit of our solution. 
Result so far: 10722.745762
Deduct 118 from 160 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 13:
420 divided by 59 is 7 with a remainder of 7.
Put 7 as the next digit of the answer. 
Result so far: 10722.7457627
If we take 413 away from 420, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 14:
If we divide 70 by 59, we get 1 and a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 10722.74576271
Subtract 59 from 70 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Our division results in 10722.74576271 with a remaining 1.1e-08.