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...

2420÷4=  (2400 + 20) ÷ 4 = (2400 + 00 + 20) ÷ 4 = 
 = 2400÷4 + 00÷4 + 20÷4 = 
 =  600    +    00    +    5  =  605  
1001÷7=  (700 + 301) ÷ 7 = (700 + 280 + 21) ÷ 7 = 
 = 700÷7 + 280÷7 + 21÷7 = 
 =  100    +    40    +    3  =  143  
1371÷3=  (1200 + 171) ÷ 3 = (1200 + 150 + 21) ÷ 3 = 
 = 1200÷3 + 150÷3 + 21÷3 = 
 =  400    +    50    +    7  =  457  
5184÷9=  (4500 + 684) ÷ 9 = (4500 + 630 + 54) ÷ 9 = 
 = 4500÷9 + 630÷9 + 54÷9 = 
 =  500    +    70    +    6  =  576  
2800÷8=  (2400 + 400) ÷ 8 = (2400 + 400 + 0) ÷ 8 = 
 = 2400÷8 + 400÷8 + 0÷8 = 
 =  300    +    50    +    0  =  350  
8748÷9=  (8100 + 648) ÷ 9 = (8100 + 630 + 18) ÷ 9 = 
 = 8100÷9 + 630÷9 + 18÷9 = 
 =  900    +    70    +    2  =  972  

   


Hit the "Go Back" button to return where you were.


Return from Division Worksheets No Remainder 4 digits by 1 digit, Type 1 to Free Math Help Online - Home Page

Return from Division Worksheets No Remainder 4 digits by 1 digit, Type 1 to 4th Grade Math Worksheets

Go to Division Worksheets