Solve 1760div48

$$1760 \div 48$$

Evaluate

$$\frac{110}{3}\approx 36.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1760

$$\begin{array}{l}\phantom{48)}\phantom{1}\\48\overline{)1760}\\\end{array}$$

Since 1 is less than 48, use the next digit 7 from dividend 1760 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}0\phantom{2}\\48\overline{)1760}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 1760

$$\begin{array}{l}\phantom{48)}0\phantom{3}\\48\overline{)1760}\\\end{array}$$

Since 17 is less than 48, use the next digit 6 from dividend 1760 and add 0 to the quotient

$$\begin{array}{l}\phantom{48)}00\phantom{4}\\48\overline{)1760}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 1760

$$\begin{array}{l}\phantom{48)}00\phantom{5}\\48\overline{)1760}\\\end{array}$$

Find closest multiple of 48 to 176. We see that 3 \times 48 = 144 is the nearest. Now subtract 144 from 176 to get reminder 32. Add 3 to quotient.

$$\begin{array}{l}\phantom{48)}003\phantom{6}\\48\overline{)1760}\\\phantom{48)}\underline{\phantom{}144\phantom{9}}\\\phantom{48)9}32\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1760

$$\begin{array}{l}\phantom{48)}003\phantom{7}\\48\overline{)1760}\\\phantom{48)}\underline{\phantom{}144\phantom{9}}\\\phantom{48)9}320\\\end{array}$$

Find closest multiple of 48 to 320. We see that 6 \times 48 = 288 is the nearest. Now subtract 288 from 320 to get reminder 32. Add 6 to quotient.

$$\begin{array}{l}\phantom{48)}0036\phantom{8}\\48\overline{)1760}\\\phantom{48)}\underline{\phantom{}144\phantom{9}}\\\phantom{48)9}320\\\phantom{48)}\underline{\phantom{9}288\phantom{}}\\\phantom{48)99}32\\\end{array}$$

Since 32 is less than 48, stop the division. The reminder is 32. The topmost line 0036 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 36.

$$\text{Quotient: }36 \text{Reminder: }32$$

Factor

$$\frac{2 \cdot 5 \cdot 11}{3} = 36\frac{2}{3} = 36.666666666666664$$