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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 495 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.37408 ÷ 96 =
  2. 2.963617 ÷ 989 =
  3. 3.89138 ÷ 98 =
  4. 4.45236 ÷ 96 =
  5. 5.57834 ÷ 97 =
  6. 6.770211 ÷ 989 =
  7. 7.157274 ÷ 997 =
  8. 8.2957 ÷ 8 =
  9. 9.1652 ÷ 8 =
  10. 10.6705 ÷ 8 =
  11. 11.49319 ÷ 96 =
  12. 12.296569 ÷ 998 =
  13. 13.88168 ÷ 88 =
  14. 14.9741 ÷ 98 =
  15. 15.74943 ÷ 96 =
  16. 16.11736 ÷ 89 =
  17. 17.37175 ÷ 989 =
  18. 18.489683 ÷ 998 =
  19. 19.39842 ÷ 89 =
  20. 20.92475 ÷ 97 =
  21. 21.917379 ÷ 998 =
  22. 22.697840 ÷ 897 =
  23. 23.369004 ÷ 998 =
  24. 24.250829 ÷ 998 =
  25. 25.6802 ÷ 98 =
  26. 26.622008 ÷ 997 =
  27. 27.96268 ÷ 98 =
  28. 28.825772 ÷ 897 =
  29. 29.9549 ÷ 89 =
  30. 30.57322 ÷ 98 =
  31. 31.75634 ÷ 98 =
  32. 32.820526 ÷ 988 =
  33. 33.83672 ÷ 89 =
  34. 34.54452 ÷ 88 =
  35. 35.7009 ÷ 96 =
  36. 36.61919 ÷ 88 =
  37. 37.300502 ÷ 989 =
  38. 38.42293 ÷ 97 =
  39. 39.1194 ÷ 8 =
  40. 40.997755 ÷ 989 =

Answer key

  1. 389 rem 64
  2. 974 rem 331
  3. 909 rem 56
  4. 471 rem 20
  5. 596 rem 22
  6. 778 rem 769
  7. 157 rem 745
  8. 369 rem 5
  9. 206 rem 4
  10. 838 rem 1
  11. 513 rem 71
  12. 297 rem 163
  13. 1001 rem 80
  14. 99 rem 39
  15. 780 rem 63
  16. 131 rem 77
  17. 37 rem 582
  18. 490 rem 663
  19. 447 rem 59
  20. 953 rem 34
  21. 919 rem 217
  22. 777 rem 871
  23. 369 rem 742
  24. 251 rem 331
  25. 69 rem 40
  26. 623 rem 877
  27. 982 rem 32
  28. 920 rem 532
  29. 107 rem 26
  30. 584 rem 90
  31. 771 rem 76
  32. 830 rem 486
  33. 940 rem 12
  34. 618 rem 68
  35. 73 rem 1
  36. 703 rem 55
  37. 303 rem 835
  38. 436 rem 1
  39. 149 rem 2
  40. 1008 rem 843

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