We need to solve the question 1562%34 (i.e. find the remainder when 1562 is divided by 34) by the "partial quotients" methodology
Step 1: Take a guess at how many 34s would be there in 1,562? Let's say 30. So the first partial quotient is 30. We subtract 34×30 (i.e. 1,020) from 1,562. The remainder is 542
Step 2: Now, take a guess at how many 34s would be there in 542? Let's say 10. So the second partial quotient is 10. We subtract 34×10 (i.e. 340) from 542. The remainder is 202
Step 3: Now, take a guess at how many 34s would be there in 202? Let's say 5. So the third partial quotient is 5. We subtract 34×5 (i.e. 170) from 202. The remainder is 32
Step 4: Now, we see that the remainder (32) is less than the divisor (34). So we have reached the end of the problem and the number can't be divided further.
Step 5: So the quotient is the sum of the partial quotients, i.e. 30 + 10 + 5 = 45, and the remainder is 32
The question was to find the remainder when 1562 is divided by 34, and the answer is 32.
Please refer to the attached image for detailed calculations.
