Math  /  Numbers & Operations

Question(2) 3 1 \longdiv { 7 8 } (6) (3) 3 1 \longdiv { 8 8 } (7) 3 1 \longdiv { 1 0 0 } \qquad - (4) (8) 3 1 \longdiv { 9 0 } 3 1 \longdiv { 1 1 5 }

Studdy Solution

STEP 1

1. The divisor for each division problem is 31 31 .
2. The dividends are 78 78 , 88 88 , 90 90 , 100 100 , 105 105 , and 115 115 .
3. We need to perform long division for each of these problems to find the quotient and remainder.

STEP 2

1. Perform long division for each dividend.
2. Record the quotient and remainder for each division.

STEP 3

Perform long division for 31÷78 31 \div 78 .
1. Determine how many times 31 31 fits into 78 78 .
2. Subtract the product from 78 78 .
3. Record the quotient and remainder.

STEP 4

Perform long division for 31÷88 31 \div 88 .
1. Determine how many times 31 31 fits into 88 88 .
2. Subtract the product from 88 88 .
3. Record the quotient and remainder.

STEP 5

Perform long division for 31÷90 31 \div 90 .
1. Determine how many times 31 31 fits into 90 90 .
2. Subtract the product from 90 90 .
3. Record the quotient and remainder.

STEP 6

Perform long division for 31÷100 31 \div 100 .
1. Determine how many times 31 31 fits into 100 100 .
2. Subtract the product from 100 100 .
3. Record the quotient and remainder.

STEP 7

Perform long division for 31÷105 31 \div 105 .
1. Determine how many times 31 31 fits into 105 105 .
2. Subtract the product from 105 105 .
3. Record the quotient and remainder.

STEP 8

Perform long division for 31÷115 31 \div 115 .
1. Determine how many times 31 31 fits into 115 115 .
2. Subtract the product from 115 115 .
3. Record the quotient and remainder.

STEP 9

Calculate and record the results for each division:
1. 31÷78 31 \div 78 : Quotient = 2, Remainder = 16
2. 31÷88 31 \div 88 : Quotient = 2, Remainder = 26
3. 31÷90 31 \div 90 : Quotient = 2, Remainder = 28
4. 31÷100 31 \div 100 : Quotient = 3, Remainder = 7
5. 31÷105 31 \div 105 : Quotient = 3, Remainder = 12
6. 31÷115 31 \div 115 : Quotient = 3, Remainder = 22

The quotients and remainders for each division problem are as follows:
1. 31÷78 31 \div 78 : Quotient = 2, Remainder = 16
2. 31÷88 31 \div 88 : Quotient = 2, Remainder = 26
3. 31÷90 31 \div 90 : Quotient = 2, Remainder = 28
4. 31÷100 31 \div 100 : Quotient = 3, Remainder = 7
5. 31÷105 31 \div 105 : Quotient = 3, Remainder = 12
6. 31÷115 31 \div 115 : Quotient = 3, Remainder = 22

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