Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
4. Polynomial Functions
Dividing Polynomials
Problem 113
Textbook Question
Divide 737 by 21 without using a calculator. Write the answer as quotient + remainder/divisor

1
Step 1: Begin by setting up the division problem as 737 divided by 21.
Step 2: Estimate how many times 21 can fit into the first few digits of 737. Start with the first two digits, 73.
Step 3: Determine how many times 21 fits into 73. Since 21 times 3 is 63, and 21 times 4 is 84, 21 fits into 73 three times.
Step 4: Multiply 21 by 3 to get 63, and subtract 63 from 73 to find the remainder, which is 10.
Step 5: Bring down the next digit from 737, which is 7, making the new number 107. Determine how many times 21 fits into 107, and continue the process to find the complete quotient and remainder.
Recommended similar problem, with video answer:

This video solution was recommended by our tutors as helpful for the problem above
Video duration:
4mPlay a video:
Was this helpful?
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Division
Division is a fundamental arithmetic operation that involves splitting a number (the dividend) into equal parts defined by another number (the divisor). In this case, dividing 737 by 21 means determining how many times 21 can fit into 737 and what remains after that. The result can be expressed in the form of a quotient and a remainder.
Recommended video:
Higher Powers of i
Quotient and Remainder
When performing division, the quotient is the whole number result of the division, while the remainder is what is left over after dividing. For example, in the division of 737 by 21, the quotient represents how many full groups of 21 can be formed from 737, and the remainder indicates how much of 737 is left after accounting for those full groups.
Recommended video:
Product, Quotient, and Power Rules of Logs
Long Division
Long division is a method used to divide larger numbers by breaking the process down into simpler steps. It involves dividing, multiplying, subtracting, and bringing down the next digit in a systematic way. This technique is particularly useful for dividing numbers like 737 by 21, allowing for a clear calculation of both the quotient and the remainder without a calculator.
Recommended video:
Higher Powers of i
Related Practice