Solve 9660div56

$$9660 \div 56$$

Evaluate

$$\frac{345}{2}=172.5$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 9660

$$\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)9660}\\\end{array}$$

Since 9 is less than 56, use the next digit 6 from dividend 9660 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)9660}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 9660

$$\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)9660}\\\end{array}$$

Find closest multiple of 56 to 96. We see that 1 \times 56 = 56 is the nearest. Now subtract 56 from 96 to get reminder 40. Add 1 to quotient.

$$\begin{array}{l}\phantom{56)}01\phantom{4}\\56\overline{)9660}\\\phantom{56)}\underline{\phantom{}56\phantom{99}}\\\phantom{56)}40\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 9660

$$\begin{array}{l}\phantom{56)}01\phantom{5}\\56\overline{)9660}\\\phantom{56)}\underline{\phantom{}56\phantom{99}}\\\phantom{56)}406\\\end{array}$$

Find closest multiple of 56 to 406. We see that 7 \times 56 = 392 is the nearest. Now subtract 392 from 406 to get reminder 14. Add 7 to quotient.

$$\begin{array}{l}\phantom{56)}017\phantom{6}\\56\overline{)9660}\\\phantom{56)}\underline{\phantom{}56\phantom{99}}\\\phantom{56)}406\\\phantom{56)}\underline{\phantom{}392\phantom{9}}\\\phantom{56)9}14\\\end{array}$$

Use the 4^{th} digit 0 from dividend 9660

$$\begin{array}{l}\phantom{56)}017\phantom{7}\\56\overline{)9660}\\\phantom{56)}\underline{\phantom{}56\phantom{99}}\\\phantom{56)}406\\\phantom{56)}\underline{\phantom{}392\phantom{9}}\\\phantom{56)9}140\\\end{array}$$

Find closest multiple of 56 to 140. We see that 2 \times 56 = 112 is the nearest. Now subtract 112 from 140 to get reminder 28. Add 2 to quotient.

$$\begin{array}{l}\phantom{56)}0172\phantom{8}\\56\overline{)9660}\\\phantom{56)}\underline{\phantom{}56\phantom{99}}\\\phantom{56)}406\\\phantom{56)}\underline{\phantom{}392\phantom{9}}\\\phantom{56)9}140\\\phantom{56)}\underline{\phantom{9}112\phantom{}}\\\phantom{56)99}28\\\end{array}$$

Since 28 is less than 56, stop the division. The reminder is 28. The topmost line 0172 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 172.

$$\text{Quotient: }172 \text{Reminder: }28$$

Factor

$$\frac{3 \cdot 5 \cdot 23}{2} = 172\frac{1}{2} = 172.5$$