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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 278 · 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. 1.24172 ÷ 88 =
  2. 2.95761 ÷ 88 =
  3. 3.31572 ÷ 897 =
  4. 4.122122 ÷ 997 =
  5. 5.47698 ÷ 89 =
  6. 6.8184 ÷ 8 =
  7. 7.7782 ÷ 97 =
  8. 8.955850 ÷ 989 =
  9. 9.371694 ÷ 897 =
  10. 10.6209 ÷ 8 =
  11. 11.826915 ÷ 989 =
  12. 12.3292 ÷ 88 =
  13. 13.390386 ÷ 988 =
  14. 14.484052 ÷ 989 =
  15. 15.849398 ÷ 988 =
  16. 16.10743 ÷ 998 =
  17. 17.24978 ÷ 98 =
  18. 18.832 ÷ 8 =
  19. 19.952520 ÷ 998 =
  20. 20.12427 ÷ 88 =
  21. 21.112536 ÷ 989 =
  22. 22.92529 ÷ 89 =
  23. 23.65785 ÷ 88 =
  24. 24.434825 ÷ 997 =
  25. 25.531802 ÷ 897 =
  26. 26.85850 ÷ 98 =
  27. 27.38067 ÷ 88 =
  28. 28.4941 ÷ 8 =
  29. 29.833715 ÷ 997 =
  30. 30.41639 ÷ 97 =
  31. 31.1895 ÷ 8 =
  32. 32.864603 ÷ 997 =
  33. 33.63966 ÷ 89 =
  34. 34.68040 ÷ 88 =
  35. 35.51989 ÷ 96 =
  36. 36.811755 ÷ 897 =
  37. 37.6433 ÷ 8 =
  38. 38.54591 ÷ 89 =
  39. 39.934544 ÷ 988 =
  40. 40.51934 ÷ 998 =

Answer key

  1. 274 rem 60
  2. 1088 rem 17
  3. 35 rem 177
  4. 122 rem 488
  5. 535 rem 83
  6. 1023 rem 0
  7. 80 rem 22
  8. 966 rem 476
  9. 414 rem 336
  10. 776 rem 1
  11. 836 rem 111
  12. 37 rem 36
  13. 395 rem 126
  14. 489 rem 431
  15. 859 rem 706
  16. 10 rem 763
  17. 254 rem 86
  18. 104 rem 0
  19. 954 rem 428
  20. 141 rem 19
  21. 113 rem 779
  22. 1039 rem 58
  23. 747 rem 49
  24. 436 rem 133
  25. 592 rem 778
  26. 876 rem 2
  27. 432 rem 51
  28. 617 rem 5
  29. 836 rem 223
  30. 429 rem 26
  31. 236 rem 7
  32. 867 rem 204
  33. 718 rem 64
  34. 773 rem 16
  35. 541 rem 53
  36. 904 rem 867
  37. 804 rem 1
  38. 613 rem 34
  39. 945 rem 884
  40. 52 rem 38

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