6437507 ÷ 141 
Our goal is to divide 6437507 by 141.

Step 1:
6 divided by 141 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (4) from the dividend, add it to 6, then carry on: 64 / 141

Advancing to step 2:
141 can be fit into 64 0 times, resulting in a remainder of 64.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 64, we get 64.
Append the next digit (3) from the dividend to 64 and continue with: 643 / 141

Moving on to step 3:
If we divide 643 by 141, we get 4 and a remainder of 79.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 564 away from 643, we end up with 79.
Grab the next digit (7) from the dividend, add it to 79, then carry on: 797 / 141

Moving on to step 4:
If we divide 797 by 141, we get 5 and a remainder of 92.
The number 5 becomes the next digit in our result. 
Result so far: 45.0
Subtract 705 from 797 to get 92.
Include the next digit (5) from the dividend after 92, then repeat: 925 / 141

Step 5:
If we divide 925 by 141, we get 6 and a remainder of 79.
The next digit of our result is 6. 
Result so far: 456.0
If we take 846 away from 925, we end up with 79.
Take the next digit (0) from the dividend and append it to 79, then repeat: 790 / 141

Going ahead to step 6:
790 divided by 141 is 5 with a remainder of 85.
Record the quotient 5 as the next digit in the result. 
Result so far: 4565.0
Subtracting 705 from 790 leaves us with 85.
Bring next digit (7) of the dividend behind the 85 and repeat the process: 857 / 141

On to step 7:
141 can be fit into 857 6 times, resulting in a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 45656.0
Subtract 846 from 857 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.

Step 8:
The number 141 fits into 110 0 times, leaving a remainder of 110.
The number 0 becomes the next digit in our result. 
Result so far: 45656.0
Subtract 0 from 110 to get 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1100, and continue the process.

On to step 9:
When dividing 1100 by 141, we get 7 with a remainder of 113.
The next digit of our result is 7. 
Result so far: 45656.07
Subtracting 987 from 1100 leaves us with 113.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1130, and continue the process.

Going ahead to step 10:
The number 141 fits into 1130 8 times, leaving a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 45656.078
The remainder is 2 after subtracting 1128 from 1130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 11:
141 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 45656.078
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 12:
200 divided by 141 is 1 with a remainder of 59.
Record the quotient 1 as the next digit in the result. 
Result so far: 45656.07801
Subtract 141 from 200 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 13:
The number 141 fits into 590 4 times, leaving a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 45656.078014
If we subtract 564 from 590, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 14:
When dividing 260 by 141, we get 1 with a remainder of 119.
Use 1 as the next digit of our solution. 
Result so far: 45656.0780141
If we subtract 141 from 260, we get 119.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1190, and continue the process.

Let's proceed to step 15:
When dividing 1190 by 141, we get 8 with a remainder of 62.
Write down 8 as next digit of the result. 
Result so far: 45656.07801418
Subtracting 1128 from 1190 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

After the division, we end up with 45656.07801418 and a remainder of 6.2e-08.