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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 924 · 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. 1.46201 ÷ 96 =
  2. 2.54471 ÷ 88 =
  3. 3.23074 ÷ 88 =
  4. 4.4218 ÷ 8 =
  5. 5.990172 ÷ 897 =
  6. 6.13725 ÷ 97 =
  7. 7.31274 ÷ 98 =
  8. 8.727661 ÷ 989 =
  9. 9.676935 ÷ 998 =
  10. 10.698690 ÷ 997 =
  11. 11.21991 ÷ 98 =
  12. 12.32786 ÷ 89 =
  13. 13.21955 ÷ 97 =
  14. 14.5531 ÷ 96 =
  15. 15.656158 ÷ 897 =
  16. 16.93910 ÷ 989 =
  17. 17.18799 ÷ 88 =
  18. 18.585 ÷ 8 =
  19. 19.9441 ÷ 8 =
  20. 20.58673 ÷ 997 =
  21. 21.301363 ÷ 997 =
  22. 22.6223 ÷ 89 =
  23. 23.18366 ÷ 98 =
  24. 24.28235 ÷ 998 =
  25. 25.76430 ÷ 897 =
  26. 26.1052 ÷ 8 =
  27. 27.82864 ÷ 96 =
  28. 28.72187 ÷ 89 =
  29. 29.30153 ÷ 98 =
  30. 30.87896 ÷ 88 =
  31. 31.72451 ÷ 98 =
  32. 32.501022 ÷ 998 =
  33. 33.1715 ÷ 98 =
  34. 34.52074 ÷ 97 =
  35. 35.64047 ÷ 89 =
  36. 36.5173 ÷ 96 =
  37. 37.576282 ÷ 989 =
  38. 38.91327 ÷ 97 =
  39. 39.29876 ÷ 96 =
  40. 40.719356 ÷ 997 =

Answer key

  1. 481 rem 25
  2. 618 rem 87
  3. 262 rem 18
  4. 527 rem 2
  5. 1103 rem 781
  6. 141 rem 48
  7. 319 rem 12
  8. 735 rem 746
  9. 678 rem 291
  10. 700 rem 790
  11. 224 rem 39
  12. 368 rem 34
  13. 226 rem 33
  14. 57 rem 59
  15. 731 rem 451
  16. 94 rem 944
  17. 213 rem 55
  18. 73 rem 1
  19. 1180 rem 1
  20. 58 rem 847
  21. 302 rem 269
  22. 69 rem 82
  23. 187 rem 40
  24. 28 rem 291
  25. 85 rem 185
  26. 131 rem 4
  27. 863 rem 16
  28. 811 rem 8
  29. 307 rem 67
  30. 998 rem 72
  31. 739 rem 29
  32. 502 rem 26
  33. 17 rem 49
  34. 536 rem 82
  35. 719 rem 56
  36. 53 rem 85
  37. 582 rem 684
  38. 941 rem 50
  39. 311 rem 20
  40. 721 rem 519

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