Solve 5412div46

$$5412 \div 46$$

Evaluate

$$\frac{2706}{23}\approx 117.652173913$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5412

$$\begin{array}{l}\phantom{46)}\phantom{1}\\46\overline{)5412}\\\end{array}$$

Since 5 is less than 46, use the next digit 4 from dividend 5412 and add 0 to the quotient

$$\begin{array}{l}\phantom{46)}0\phantom{2}\\46\overline{)5412}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 5412

$$\begin{array}{l}\phantom{46)}0\phantom{3}\\46\overline{)5412}\\\end{array}$$

Find closest multiple of 46 to 54. We see that 1 \times 46 = 46 is the nearest. Now subtract 46 from 54 to get reminder 8. Add 1 to quotient.

$$\begin{array}{l}\phantom{46)}01\phantom{4}\\46\overline{)5412}\\\phantom{46)}\underline{\phantom{}46\phantom{99}}\\\phantom{46)9}8\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 5412

$$\begin{array}{l}\phantom{46)}01\phantom{5}\\46\overline{)5412}\\\phantom{46)}\underline{\phantom{}46\phantom{99}}\\\phantom{46)9}81\\\end{array}$$

Find closest multiple of 46 to 81. We see that 1 \times 46 = 46 is the nearest. Now subtract 46 from 81 to get reminder 35. Add 1 to quotient.

$$\begin{array}{l}\phantom{46)}011\phantom{6}\\46\overline{)5412}\\\phantom{46)}\underline{\phantom{}46\phantom{99}}\\\phantom{46)9}81\\\phantom{46)}\underline{\phantom{9}46\phantom{9}}\\\phantom{46)9}35\\\end{array}$$

Use the 4^{th} digit 2 from dividend 5412

$$\begin{array}{l}\phantom{46)}011\phantom{7}\\46\overline{)5412}\\\phantom{46)}\underline{\phantom{}46\phantom{99}}\\\phantom{46)9}81\\\phantom{46)}\underline{\phantom{9}46\phantom{9}}\\\phantom{46)9}352\\\end{array}$$

Find closest multiple of 46 to 352. We see that 7 \times 46 = 322 is the nearest. Now subtract 322 from 352 to get reminder 30. Add 7 to quotient.

$$\begin{array}{l}\phantom{46)}0117\phantom{8}\\46\overline{)5412}\\\phantom{46)}\underline{\phantom{}46\phantom{99}}\\\phantom{46)9}81\\\phantom{46)}\underline{\phantom{9}46\phantom{9}}\\\phantom{46)9}352\\\phantom{46)}\underline{\phantom{9}322\phantom{}}\\\phantom{46)99}30\\\end{array}$$

Since 30 is less than 46, stop the division. The reminder is 30. The topmost line 0117 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 117.

$$\text{Quotient: }117 \text{Reminder: }30$$

Factor

$$\frac{2 \cdot 3 \cdot 11 \cdot 41}{23} = 117\frac{15}{23} = 117.65217391304348$$