## Division Worksheets No Remainder4 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 Remainder4 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 division5 < 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.          