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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 94 · 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. 1.777595 ÷ 998 =
  2. 2.92179 ÷ 88 =
  3. 3.380277 ÷ 897 =
  4. 4.564252 ÷ 897 =
  5. 5.3376 ÷ 89 =
  6. 6.23474 ÷ 89 =
  7. 7.338142 ÷ 988 =
  8. 8.94308 ÷ 96 =
  9. 9.202560 ÷ 897 =
  10. 10.502593 ÷ 998 =
  11. 11.805643 ÷ 897 =
  12. 12.62142 ÷ 96 =
  13. 13.2879 ÷ 96 =
  14. 14.63548 ÷ 98 =
  15. 15.94795 ÷ 89 =
  16. 16.779088 ÷ 997 =
  17. 17.66836 ÷ 96 =
  18. 18.140864 ÷ 998 =
  19. 19.11128 ÷ 98 =
  20. 20.360312 ÷ 897 =
  21. 21.8009 ÷ 8 =
  22. 22.167383 ÷ 998 =
  23. 23.25442 ÷ 89 =
  24. 24.68709 ÷ 89 =
  25. 25.22208 ÷ 96 =
  26. 26.702956 ÷ 998 =
  27. 27.60310 ÷ 98 =
  28. 28.40836 ÷ 89 =
  29. 29.40287 ÷ 89 =
  30. 30.48304 ÷ 98 =
  31. 31.729028 ÷ 988 =
  32. 32.1287 ÷ 8 =
  33. 33.719732 ÷ 997 =
  34. 34.3288 ÷ 8 =
  35. 35.97613 ÷ 96 =
  36. 36.40557 ÷ 88 =
  37. 37.85199 ÷ 97 =
  38. 38.457355 ÷ 988 =
  39. 39.869582 ÷ 997 =
  40. 40.993837 ÷ 897 =

Answer key

  1. 779 rem 153
  2. 1047 rem 43
  3. 423 rem 846
  4. 629 rem 39
  5. 37 rem 83
  6. 263 rem 67
  7. 342 rem 246
  8. 982 rem 36
  9. 225 rem 735
  10. 503 rem 599
  11. 898 rem 137
  12. 647 rem 30
  13. 29 rem 95
  14. 648 rem 44
  15. 1065 rem 10
  16. 781 rem 431
  17. 696 rem 20
  18. 141 rem 146
  19. 113 rem 54
  20. 401 rem 615
  21. 1001 rem 1
  22. 167 rem 717
  23. 285 rem 77
  24. 772 rem 1
  25. 231 rem 32
  26. 704 rem 364
  27. 615 rem 40
  28. 458 rem 74
  29. 452 rem 59
  30. 492 rem 88
  31. 737 rem 872
  32. 160 rem 7
  33. 721 rem 895
  34. 411 rem 0
  35. 1016 rem 77
  36. 460 rem 77
  37. 878 rem 33
  38. 462 rem 899
  39. 872 rem 198
  40. 1107 rem 858

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