Solve 74,564div28

$$74,564 \div 28$$

Evaluate

$$2663$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 74564

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)74564}\\\end{array}$$

Since 7 is less than 28, use the next digit 4 from dividend 74564 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)74564}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 74564

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)74564}\\\end{array}$$

Find closest multiple of 28 to 74. We see that 2 \times 28 = 56 is the nearest. Now subtract 56 from 74 to get reminder 18. Add 2 to quotient.

$$\begin{array}{l}\phantom{28)}02\phantom{4}\\28\overline{)74564}\\\phantom{28)}\underline{\phantom{}56\phantom{999}}\\\phantom{28)}18\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 74564

$$\begin{array}{l}\phantom{28)}02\phantom{5}\\28\overline{)74564}\\\phantom{28)}\underline{\phantom{}56\phantom{999}}\\\phantom{28)}185\\\end{array}$$

Find closest multiple of 28 to 185. We see that 6 \times 28 = 168 is the nearest. Now subtract 168 from 185 to get reminder 17. Add 6 to quotient.

$$\begin{array}{l}\phantom{28)}026\phantom{6}\\28\overline{)74564}\\\phantom{28)}\underline{\phantom{}56\phantom{999}}\\\phantom{28)}185\\\phantom{28)}\underline{\phantom{}168\phantom{99}}\\\phantom{28)9}17\\\end{array}$$

Use the 4^{th} digit 6 from dividend 74564

$$\begin{array}{l}\phantom{28)}026\phantom{7}\\28\overline{)74564}\\\phantom{28)}\underline{\phantom{}56\phantom{999}}\\\phantom{28)}185\\\phantom{28)}\underline{\phantom{}168\phantom{99}}\\\phantom{28)9}176\\\end{array}$$

Find closest multiple of 28 to 176. We see that 6 \times 28 = 168 is the nearest. Now subtract 168 from 176 to get reminder 8. Add 6 to quotient.

$$\begin{array}{l}\phantom{28)}0266\phantom{8}\\28\overline{)74564}\\\phantom{28)}\underline{\phantom{}56\phantom{999}}\\\phantom{28)}185\\\phantom{28)}\underline{\phantom{}168\phantom{99}}\\\phantom{28)9}176\\\phantom{28)}\underline{\phantom{9}168\phantom{9}}\\\phantom{28)999}8\\\end{array}$$

Use the 5^{th} digit 4 from dividend 74564

$$\begin{array}{l}\phantom{28)}0266\phantom{9}\\28\overline{)74564}\\\phantom{28)}\underline{\phantom{}56\phantom{999}}\\\phantom{28)}185\\\phantom{28)}\underline{\phantom{}168\phantom{99}}\\\phantom{28)9}176\\\phantom{28)}\underline{\phantom{9}168\phantom{9}}\\\phantom{28)999}84\\\end{array}$$

Find closest multiple of 28 to 84. We see that 3 \times 28 = 84 is the nearest. Now subtract 84 from 84 to get reminder 0. Add 3 to quotient.

$$\begin{array}{l}\phantom{28)}02663\phantom{10}\\28\overline{)74564}\\\phantom{28)}\underline{\phantom{}56\phantom{999}}\\\phantom{28)}185\\\phantom{28)}\underline{\phantom{}168\phantom{99}}\\\phantom{28)9}176\\\phantom{28)}\underline{\phantom{9}168\phantom{9}}\\\phantom{28)999}84\\\phantom{28)}\underline{\phantom{999}84\phantom{}}\\\phantom{28)99999}0\\\end{array}$$

Since 0 is less than 28, stop the division. The reminder is 0. The topmost line 02663 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2663.

$$\text{Quotient: }2663 \text{Reminder: }0$$

Factor

$$2663$$