*To divide 4420 by 170 using long division, determine how many times 170 goes into the first digits 442, which is 2 times. Multiply 170 by 2, subtract, and bring down the next digit. Repeat the process of multiplying 170 by the quotient digit, subtracting, and bringing new digits down until no digits remain. The full long division results in a quotient of 26 with a remainder of 0, so 4420/170 = 26.*

Using Long Division to Divide Large Numbers

Long division is an important mathematical skill that provides a structured way to divide larger numbers that cannot be easily divided mentally. Let’s explore the step-by-step process for long division by working through the problem of dividing 4420 by 170.

Set Up the Problem

First, we write out the long division bracket with 4420 inside and 170 outside. Place a straight line between them to keep your work organized.

Determine How Many Times 170 Goes Into 442

Look at the first digits of 4420, which are 442. Determine how many times the divisor 170 goes into 442 evenly. 170 goes into 442 two times.

Multiply and Subtract

Write 2 above the 4 in the quotient. Then multiply 170 by 2, which is 340. Write 340 underneath 442 and subtract to get a remainder of 102.

Bring Down the Next Digit

Bring down the next digit from the dividend, which is 0, to make the new working number 1020.

Repeat Process with New Working Number

Determine how many times 170 goes into 1020, which is 6 times.

Write 6 in the quotient above the 2. Multiply 170 by 6 to get 1020. Write 1020 under 1020 in the dividend and subtract to get a remainder of 0.

Since there are no digits left in the dividend, long division is complete. The quotient is 26 with a remainder of 0.

So 4420 divided by 170 equals 26 with a remainder of 0.

Practicing long division develops an essential math skill for dividing multi-digit numbers efficiently. With a methodical, step-by-step approach, large divisions become manageable. Long division mastery provides a great foundation for more advanced math down the road.

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