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The first answer digit in the quotient is shown in the long division. The hardest part of performing the long division steps by hand is the initial division step. Determining how many times the partial dividend is divided by the divisor can be tricky, especially when dealing with multiple-digit divisors. As a check, if the product of the multiplication step is larger than the divisor, you know that the partial quotient in the first step can be increased.
You can observe this in the work shown in the long division calculator Notice that the product of the multiply step is always less than the remainder. The easiest way to understand long division is to see an example. This long division calculator lets you do that for any problem! You can enter a problem and explore the individual steps by hovering over portions of the work shown in the calculator, but even with that extra bit of help, long division can be difficult to understand.
The example below walks through a problem using the same "show your work" output that the long division calculator generates for a typical problem.
The first step in long division, the "divide" step, is to try to find the smallest part the dividend that can be divided by the divisor. Looking at the first digit in the dividend, we see that 1 cannot be divided by 3, so we need to continue and look at the second digit as well.
The next step, the "multiply" step, requires us to take that answer digit with just calculated, multiply it by the divisor. This is actually fairly easy because we just calculated 12 divided by 3 in the previous step, so we instantly know the product to write down.
The next task following our long division steps is to subtract that product from the partial dividend. In this case, 12 divided by 3 is exactly 4 without any remainder, so the result of this subtraction operation is zero.
This long division calculator shows this with a small grey arrow, and you can see these digits brought down add to the difference we calculated in the previous step. And that means multiplication time again!
That 3 divided by 3 math fact we just used shows up again here and the product of 3 times 1 gets written down to setup for the subtraction step. At this subtraction step, we trivially subtract 3 from 3 and get zero as our remainder this time. But we did use a digit from the dividend, and we need to keep track of that. Bring down another digit! That gives us 22 divided by 3, which we definitely can do.
Time once more to multiply that digit from the quotient and setup for subtraction. I hope this long division calculator is a big help figuring out the steps for long division and for seeing where remainders come from. But there are lots of great long division guides online.
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Division with remainders homework. About this resource. Info. Created: Jan 24, Updated: Nov 18, Worksheet. Y1 planning and resources for White Rose Maths Summer Block 1 Multiplication and Division weeks Multiplication homework help for parents.5/5(1). With Remainder 4nbt6 Long Each division has 20 math identifying math number of groups you help make as homework as the amount leftover. Horizontal Division 4nbt6 Share Each worksheet has long problems solving a traditional division problem.
Throw help long division with remainders or long division with decimals, and the landscape truly becomes a minefield homework frustration. The long division worksheets in this section of the site are designed to introduce various topics gradually, dividing that long division skills are built incrementally and areas of difficulty can be. The number to be divided into is called the dividend and the number which divides the dividend is called the divisor. The result of division is known as quotient.