Long Division Step by Step: A Parent's Guide

Long division has a reputation for causing tears at the kitchen table. Part of the reason is that it combines many skills at once: division facts, multiplication, subtraction, and place value. If any one of those is shaky, the whole process falls apart. The other reason is that it has many steps to remember. The good news is that the steps repeat in the same order, and once your child sees the cycle, it becomes much more manageable.

Check the building blocks first

Before starting, make sure your child can recall basic multiplication and division facts fairly quickly and can subtract multi-digit numbers accurately. If your child needs to count on fingers for 6 times 7, long division will feel exhausting. A couple of weeks spent firming up facts is time well spent.

The steps, with a memory aid

Long division repeats four steps: divide, multiply, subtract, bring down. Many families use a silly sentence to remember the order, such as Dad, Mom, Sister, Brother, where each first letter stands for one step. Let your child make up their own; it will stick better.

1. Divide: Look at the first digit (or first few digits) of the number being divided. How many times does the divisor fit into it? Write that number on top.
2. Multiply: Multiply the number you just wrote by the divisor. Write the result under the digits you used.
3. Subtract: Subtract to find what is left over. This must be smaller than the divisor.
4. Bring down: Bring down the next digit and write it next to the leftover number.
5. Repeat: Start again with divide, until there are no digits left to bring down.

A worked example: 745 divided by 5

• Divide: 5 goes into 7 one time. Write 1 above the 7.
• Multiply: 1 times 5 is 5. Write 5 under the 7.
• Subtract: 7 minus 5 is 2.
• Bring down the 4, making 24.
• Divide: 5 goes into 24 four times. Write 4 above the 4.
• Multiply: 4 times 5 is 20. Subtract: 24 minus 20 is 4.
• Bring down the 5, making 45.
• Divide: 5 goes into 45 nine times. Write 9 above the 5. Multiply: 9 times 5 is 45. Subtract: 0.
• The answer is 149. Check: 149 times 5 is 745.

Use graph paper or turn lined paper sideways so the lines become columns. Keeping digits lined up prevents a surprising number of errors.

Remainders

Not every problem comes out evenly. For 87 divided by 4: 4 goes into 8 two times, with nothing left. Bring down the 7. 4 goes into 7 one time, leaving 3. The answer is 21 with a remainder of 3. Always check: 21 times 4 is 84, plus 3 is 87. In word problems, talk about what the remainder means. If 87 students ride in vans that hold 4, you need 22 vans, not 21.

The tricky zero

Try 612 divided by 6. 6 goes into 6 once. Bring down the 1. 6 does not go into 1, so write 0 on top. This is the step kids skip most often. Then bring down the 2, making 12, and 6 goes into 12 twice. The answer is 102, not 12. Remind your child: every time you bring down a digit, you must write something on top, even if it is zero.

Common mistakes

• Forgetting to write a zero in the answer, as in the example above.
• A leftover that is bigger than the divisor. If your child subtracts and gets 7 while dividing by 5, the number on top was too small. Go back and try one more.
• Bringing down two digits at once or skipping a digit. Have your child draw a small arrow each time they bring one down.
• Multiplication fact errors. Many long division mistakes are really fact mistakes in disguise. Check the facts when the steps look right but the answer is wrong.

A 10-minute activity: be the teacher

Solve a long division problem yourself on paper and make one deliberate mistake, such as forgetting a zero or bringing down the wrong digit. Ask your child to be the teacher and find your error, then explain how to fix it. Kids love catching grown-ups making mistakes, and explaining the steps out loud deepens their own understanding. Do two or three of these, then switch roles.

Keep sessions short

Three or four carefully done problems are better than a full page of rushed ones. Estimate first, so your child knows roughly what the answer should be, and check by multiplying at the end. Those two habits catch most errors before the teacher ever sees them.

Help where it is actually needed

Long division errors often come from one weak step, such as fact recall, subtraction, or place value. Study Tutor's AI tutor looks at where your child's work goes wrong and builds printable practice for that specific step, so you spend time on the real issue.