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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 182 · 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. 1.79078 ÷ 97 =
  2. 2.96063 ÷ 96 =
  3. 3.4645 ÷ 88 =
  4. 4.62714 ÷ 88 =
  5. 5.15290 ÷ 97 =
  6. 6.62816 ÷ 96 =
  7. 7.51586 ÷ 88 =
  8. 8.58860 ÷ 96 =
  9. 9.55940 ÷ 89 =
  10. 10.68921 ÷ 98 =
  11. 11.64050 ÷ 96 =
  12. 12.90688 ÷ 97 =
  13. 13.77458 ÷ 88 =
  14. 14.186370 ÷ 998 =
  15. 15.47280 ÷ 89 =
  16. 16.851261 ÷ 989 =
  17. 17.290948 ÷ 997 =
  18. 18.686054 ÷ 988 =
  19. 19.59718 ÷ 998 =
  20. 20.871388 ÷ 998 =
  21. 21.28473 ÷ 96 =
  22. 22.94635 ÷ 96 =
  23. 23.76935 ÷ 997 =
  24. 24.2616 ÷ 8 =
  25. 25.522913 ÷ 997 =
  26. 26.23244 ÷ 98 =
  27. 27.80402 ÷ 97 =
  28. 28.575730 ÷ 897 =
  29. 29.8642 ÷ 8 =
  30. 30.7942 ÷ 8 =
  31. 31.887914 ÷ 988 =
  32. 32.27739 ÷ 97 =
  33. 33.5368 ÷ 8 =
  34. 34.443242 ÷ 897 =
  35. 35.8609 ÷ 8 =
  36. 36.16197 ÷ 97 =
  37. 37.997619 ÷ 998 =
  38. 38.9978 ÷ 98 =
  39. 39.3304 ÷ 97 =
  40. 40.1370 ÷ 8 =

Answer key

  1. 815 rem 23
  2. 1000 rem 63
  3. 52 rem 69
  4. 712 rem 58
  5. 157 rem 61
  6. 654 rem 32
  7. 586 rem 18
  8. 613 rem 12
  9. 628 rem 48
  10. 703 rem 27
  11. 667 rem 18
  12. 934 rem 90
  13. 880 rem 18
  14. 186 rem 742
  15. 531 rem 21
  16. 860 rem 721
  17. 291 rem 821
  18. 694 rem 382
  19. 59 rem 836
  20. 873 rem 134
  21. 296 rem 57
  22. 985 rem 75
  23. 77 rem 166
  24. 327 rem 0
  25. 524 rem 485
  26. 237 rem 18
  27. 828 rem 86
  28. 641 rem 753
  29. 1080 rem 2
  30. 992 rem 6
  31. 898 rem 690
  32. 285 rem 94
  33. 671 rem 0
  34. 494 rem 124
  35. 1076 rem 1
  36. 166 rem 95
  37. 999 rem 617
  38. 101 rem 80
  39. 34 rem 6
  40. 171 rem 2

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