Here are the solutions for the long division problems. I have calculated each one step-by-step to ensure accuracy.
1) $7 \overline{)578}$
* 7 goes into 57 eight times ($7 \times 8 = 56$). Remainder is 1.
* Bring down the 8 to make 18.
* 7 goes into 18 two times ($7 \times 2 = 14$). Remainder is 4.
*
Answer: 82 R 4
2) $19 \overline{)298}$
* 19 goes into 29 one time ($19 \times 1 = 19$). Remainder is 10.
* Bring down the 8 to make 108.
* 19 goes into 108 five times ($19 \times 5 = 95$). Remainder is 13.
*
Answer: 15 R 13
3) $6 \overline{)216}$
* 6 goes into 21 three times ($6 \times 3 = 18$). Remainder is 3.
* Bring down the 6 to make 36.
* 6 goes into 36 six times ($6 \times 6 = 36$). Remainder is 0.
*
Answer: 36
4) $8 \overline{)252}$
* 8 goes into 25 three times ($8 \times 3 = 24$). Remainder is 1.
* Bring down the 2 to make 12.
* 8 goes into 12 one time ($8 \times 1 = 8$). Remainder is 4.
*
Answer: 31 R 4
5) $22 \overline{)588}$
* 22 goes into 58 two times ($22 \times 2 = 44$). Remainder is 14.
* Bring down the 8 to make 148.
* 22 goes into 148 six times ($22 \times 6 = 132$). Remainder is 16.
*
Answer: 26 R 16
6) $15 \overline{)521}$
* 15 goes into 52 three times ($15 \times 3 = 45$). Remainder is 7.
* Bring down the 1 to make 71.
* 15 goes into 71 four times ($15 \times 4 = 60$). Remainder is 11.
*
Answer: 34 R 11
7) $19 \overline{)928}$
* 19 goes into 92 four times ($19 \times 4 = 76$). Remainder is 16.
* Bring down the 8 to make 168.
* 19 goes into 168 eight times ($19 \times 8 = 152$). Remainder is 16.
*
Answer: 48 R 16
8) $7 \overline{)829}$
* 7 goes into 8 one time ($7 \times 1 = 7$). Remainder is 1.
* Bring down the 2 to make 12.
* 7 goes into 12 one time ($7 \times 1 = 7$). Remainder is 5.
* Bring down the 9 to make 59.
* 7 goes into 59 eight times ($7 \times 8 = 56$). Remainder is 3.
*
Answer: 118 R 3
9) $5 \overline{)985}$
* 5 goes into 9 one time ($5 \times 1 = 5$). Remainder is 4.
* Bring down the 8 to make 48.
* 5 goes into 48 nine times ($5 \times 9 = 45$). Remainder is 3.
* Bring down the 5 to make 35.
* 5 goes into 35 seven times ($5 \times 7 = 35$). Remainder is 0.
*
Answer: 197
10) $6 \overline{)355}$
* 6 goes into 35 five times ($6 \times 5 = 30$). Remainder is 5.
* Bring down the 5 to make 55.
* 6 goes into 55 nine times ($6 \times 9 = 54$). Remainder is 1.
*
Answer: 59 R 1
11) $4 \overline{)653}$
* 4 goes into 6 one time ($4 \times 1 = 4$). Remainder is 2.
* Bring down the 5 to make 25.
* 4 goes into 25 six times ($4 \times 6 = 24$). Remainder is 1.
* Bring down the 3 to make 13.
* 4 goes into 13 three times ($4 \times 3 = 12$). Remainder is 1.
*
Answer: 163 R 1
12) $4 \overline{)215}$
* 4 goes into 21 five times ($4 \times 5 = 20$). Remainder is 1.
* Bring down the 5 to make 15.
* 4 goes into 15 three times ($4 \times 3 = 12$). Remainder is 3.
*
Answer: 53 R 3
Final Answer:
1) 82 R 4
2) 15 R 13
3) 36
4) 31 R 4
5) 26 R 16
6) 34 R 11
7) 48 R 16
8) 118 R 3
9) 197
10) 59 R 1
11) 163 R 1
12) 53 R 3
Parent Tip: Review the logic above to help your child master the concept of 5 grade math worksheet of division 3 digit.
