Solve 5467:35

$$5467 : 35$$

Evaluate

$$\frac{781}{5}=156.2$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5467

$$\begin{array}{l}\phantom{35)}\phantom{1}\\35\overline{)5467}\\\end{array}$$

Since 5 is less than 35, use the next digit 4 from dividend 5467 and add 0 to the quotient

$$\begin{array}{l}\phantom{35)}0\phantom{2}\\35\overline{)5467}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 5467

$$\begin{array}{l}\phantom{35)}0\phantom{3}\\35\overline{)5467}\\\end{array}$$

Find closest multiple of 35 to 54. We see that 1 \times 35 = 35 is the nearest. Now subtract 35 from 54 to get reminder 19. Add 1 to quotient.

$$\begin{array}{l}\phantom{35)}01\phantom{4}\\35\overline{)5467}\\\phantom{35)}\underline{\phantom{}35\phantom{99}}\\\phantom{35)}19\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 5467

$$\begin{array}{l}\phantom{35)}01\phantom{5}\\35\overline{)5467}\\\phantom{35)}\underline{\phantom{}35\phantom{99}}\\\phantom{35)}196\\\end{array}$$

Find closest multiple of 35 to 196. We see that 5 \times 35 = 175 is the nearest. Now subtract 175 from 196 to get reminder 21. Add 5 to quotient.

$$\begin{array}{l}\phantom{35)}015\phantom{6}\\35\overline{)5467}\\\phantom{35)}\underline{\phantom{}35\phantom{99}}\\\phantom{35)}196\\\phantom{35)}\underline{\phantom{}175\phantom{9}}\\\phantom{35)9}21\\\end{array}$$

Use the 4^{th} digit 7 from dividend 5467

$$\begin{array}{l}\phantom{35)}015\phantom{7}\\35\overline{)5467}\\\phantom{35)}\underline{\phantom{}35\phantom{99}}\\\phantom{35)}196\\\phantom{35)}\underline{\phantom{}175\phantom{9}}\\\phantom{35)9}217\\\end{array}$$

Find closest multiple of 35 to 217. We see that 6 \times 35 = 210 is the nearest. Now subtract 210 from 217 to get reminder 7. Add 6 to quotient.

$$\begin{array}{l}\phantom{35)}0156\phantom{8}\\35\overline{)5467}\\\phantom{35)}\underline{\phantom{}35\phantom{99}}\\\phantom{35)}196\\\phantom{35)}\underline{\phantom{}175\phantom{9}}\\\phantom{35)9}217\\\phantom{35)}\underline{\phantom{9}210\phantom{}}\\\phantom{35)999}7\\\end{array}$$

Since 7 is less than 35, stop the division. The reminder is 7. The topmost line 0156 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 156.

$$\text{Quotient: }156 \text{Reminder: }7$$

Factor

$$\frac{11 \cdot 71}{5} = 156\frac{1}{5} = 156.2$$