Division Worksheets No Remainder
4 digits by 1 digit - Type 1




  • I've separated whole numbers division into two types; we practice type 1 here.
  • Type 1: the first digit of a dividend is less than the 1 digit of divisor.
  • Since we're dividing 4 digit numbers, in this case we can't "chip off" any 1000s, so we'll "chip off" 100s, and then 10s.
  • I recommend you to practice my "defective" division table.


EXAMPLE for Division Worksheets No Remainder
4 digits by 1 digit, Type 1:

5124 ÷ 6  =

  • First we determine the type of division, and since the first digit of 5124 (dividend) is less than 6 (divisor), we're dealing with my: Type 1 division

5 < 6 => Type 1

  • Since 5<6, we'll take the first two digits of 5124 and see how many times we can "squeeze" 6 into it (but not exceed 51).
  • The closest we can get is: 8 × 6 = 48,
  • So, instead of 5124 we put 48 hundreds + the rest, i.e.:

5124 ÷ 6  =  (4800 + 342)÷6  =

  • Now we have to "break" 342. Again we take the first two digits of 342 and try to see home much 6s we have in 34 (but not exceeding it)
  • The closest we can get is: 5 × 6 = 30,
  • So, instead of 342 we put 30 tens + the rest, i.e.:

=  (4800 + 300 + 42)÷6  =

  • Now to lose the parentheses, we use the distributive property for division:

4800÷6 + 300÷6 + 42÷6  =

  • And that's about it, at the end we do some simple adding of 100s, 10s and 1s.

800 + 50 + 7  =  857


Here follows an interactive worksheet for this particular case. Take a few tries, I'm sure you'll figure out the pattern very quickly.


Pay attention, please...


   



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