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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 489 · 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. 1.65741 ÷ 96 =
  2. 2.6520 ÷ 8 =
  3. 3.1562 ÷ 96 =
  4. 4.2592 ÷ 88 =
  5. 5.35364 ÷ 97 =
  6. 6.31020 ÷ 98 =
  7. 7.1058 ÷ 8 =
  8. 8.523778 ÷ 897 =
  9. 9.64662 ÷ 98 =
  10. 10.883959 ÷ 998 =
  11. 11.4342 ÷ 8 =
  12. 12.21757 ÷ 88 =
  13. 13.482733 ÷ 897 =
  14. 14.76331 ÷ 98 =
  15. 15.8590 ÷ 98 =
  16. 16.1695 ÷ 8 =
  17. 17.15845 ÷ 89 =
  18. 18.22815 ÷ 89 =
  19. 19.381171 ÷ 998 =
  20. 20.442334 ÷ 997 =
  21. 21.283066 ÷ 988 =
  22. 22.11426 ÷ 897 =
  23. 23.75487 ÷ 96 =
  24. 24.55422 ÷ 97 =
  25. 25.291064 ÷ 997 =
  26. 26.80792 ÷ 897 =
  27. 27.82796 ÷ 88 =
  28. 28.371943 ÷ 897 =
  29. 29.390831 ÷ 988 =
  30. 30.10689 ÷ 89 =
  31. 31.554015 ÷ 988 =
  32. 32.156224 ÷ 897 =
  33. 33.921760 ÷ 997 =
  34. 34.500746 ÷ 897 =
  35. 35.125556 ÷ 989 =
  36. 36.75196 ÷ 98 =
  37. 37.1435 ÷ 8 =
  38. 38.98554 ÷ 97 =
  39. 39.545533 ÷ 998 =
  40. 40.196496 ÷ 989 =

Answer key

  1. 684 rem 77
  2. 815 rem 0
  3. 16 rem 26
  4. 29 rem 40
  5. 364 rem 56
  6. 316 rem 52
  7. 132 rem 2
  8. 583 rem 827
  9. 659 rem 80
  10. 885 rem 729
  11. 542 rem 6
  12. 247 rem 21
  13. 538 rem 147
  14. 778 rem 87
  15. 87 rem 64
  16. 211 rem 7
  17. 178 rem 3
  18. 256 rem 31
  19. 381 rem 933
  20. 443 rem 663
  21. 286 rem 498
  22. 12 rem 662
  23. 786 rem 31
  24. 571 rem 35
  25. 291 rem 937
  26. 90 rem 62
  27. 940 rem 76
  28. 414 rem 585
  29. 395 rem 571
  30. 120 rem 9
  31. 560 rem 735
  32. 174 rem 146
  33. 924 rem 532
  34. 558 rem 220
  35. 126 rem 942
  36. 767 rem 30
  37. 179 rem 3
  38. 1016 rem 2
  39. 546 rem 625
  40. 198 rem 674

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