We look at the division of 641789 by 139 
We're looking to find how many times 139 goes into 641789.

Moving on to step 1:
The number 139 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 139

Moving on to step 2:
139 can be fit into 64 0 times, resulting in a remainder of 64.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 64, we end up with 64.
Take the next digit (1) from the dividend and append it to 64, then repeat: 641 / 139

Let's proceed to step 3:
The number 139 fits into 641 4 times, leaving a remainder of 85.
The next digit of our result is 4. 
Result so far: 4.0
Subtracting 556 from 641 leaves us with 85.
Take the next digit (7) from the dividend and append it to 85, then repeat: 857 / 139

Advancing to step 4:
The number 139 fits into 857 6 times, leaving a remainder of 23.
Put 6 as the next digit of the answer. 
Result so far: 46.0
Subtracting 834 from 857 leaves us with 23.
Append the next digit (8) from the dividend to 23 and continue with: 238 / 139

Moving on to step 5:
The number 139 fits into 238 1 times, leaving a remainder of 99.
Use 1 as the next digit of our solution. 
Result so far: 461.0
Subtracting 139 from 238 leaves us with 99.
Append the next digit (9) from the dividend to 99 and continue with: 999 / 139

Let's proceed to step 6:
If we divide 999 by 139, we get 7 and a remainder of 26.
The next digit of our result is 7. 
Result so far: 4617.0
Subtracting 973 from 999 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
139 can be fit into 260 1 times, resulting in a remainder of 121.
The next digit of our result is 1. 
Result so far: 4617.1
If we take 139 away from 260, we end up with 121.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1210, and continue the process.

Let's proceed to step 8:
1210 divided by 139 is 8 with a remainder of 98.
Use 8 as the next digit of our solution. 
Result so far: 4617.18
If we take 1112 away from 1210, we end up with 98.
Since there are no more digits in the dividend, we add a zero to the remainder making it 980, and continue the process.

Advancing to step 9:
The number 139 fits into 980 7 times, leaving a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 4617.187
If we take 973 away from 980, 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.

On to step 10:
If we divide 70 by 139, we get 0 and a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 4617.187
Deduct 0 from 70 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 11:
When dividing 700 by 139, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 4617.18705
Subtracting 695 from 700 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 12:
139 can be fit into 50 0 times, resulting in a remainder of 50.
The next digit of our result is 0. 
Result so far: 4617.18705
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 13:
The number 139 fits into 500 3 times, leaving a remainder of 83.
Put 3 as the next digit of the answer. 
Result so far: 4617.1870503
The remainder is 83 after subtracting 417 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Moving on to step 14:
139 can be fit into 830 5 times, resulting in a remainder of 135.
Record the quotient 5 as the next digit in the result. 
Result so far: 4617.18705035
If we subtract 695 from 830, we get 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

Our division results in 4617.18705035 with a remaining 1.35e-07.