Math Lab

Long Division Step

Division · Class IV

Divide a 3-digit number by a 1-digit number.

152
type a value
10999
4
type a value
29
Live values
  • Quotient38
  • Remainder0
  • Check: q*d + r152
Live readout
Quotient38
Remainder0
Check: q*d + r152
Dividend152
Divisor4

Formulas in this lab

  • Quotient
    ⌊n/d⌋\lfloor n/d \rfloor
  • Remainder
    n mod dn \bmod d
  • Check: q*d + r
    qd+rqd + r
Tip: Quotient times divisor plus remainder must equal the dividend!

Frequently asked questions

▶What is long division?

Long division is a step-by-step way to divide a big number by a small one. You divide, multiply, subtract, and bring down. The answer is the quotient, and the leftover is the remainder.

▶How do I use the long division lab?

Pick a 3-digit dividend and a 1-digit divisor using the sliders. The lab does each step on screen and shows the quotient and remainder. Watch the digits come down one by one.

▶When do we use long division?

Sharing 245 sweets among 5 cousins evenly, or splitting a 360-rupee electricity bill among 4 flats uses long division. Whenever the total is big, long division is your friend.

▶Tip for long division

Always check: quotient times divisor plus remainder should equal the original number. So for 245 divided by 5: 49 times 5 plus 0 equals 245. This check catches mistakes fast.

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