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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 186 · 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. 1.9469 ÷ 97 =
  2. 2.261156 ÷ 997 =
  3. 3.875338 ÷ 897 =
  4. 4.28408 ÷ 97 =
  5. 5.205064 ÷ 897 =
  6. 6.876249 ÷ 988 =
  7. 7.59725 ÷ 97 =
  8. 8.39667 ÷ 98 =
  9. 9.9948 ÷ 89 =
  10. 10.36509 ÷ 96 =
  11. 11.1962 ÷ 8 =
  12. 12.82002 ÷ 97 =
  13. 13.45106 ÷ 89 =
  14. 14.20300 ÷ 88 =
  15. 15.4132 ÷ 8 =
  16. 16.970308 ÷ 988 =
  17. 17.54574 ÷ 88 =
  18. 18.935409 ÷ 998 =
  19. 19.22647 ÷ 89 =
  20. 20.34360 ÷ 89 =
  21. 21.707123 ÷ 988 =
  22. 22.69334 ÷ 98 =
  23. 23.1012 ÷ 8 =
  24. 24.289416 ÷ 989 =
  25. 25.881879 ÷ 998 =
  26. 26.13627 ÷ 89 =
  27. 27.344624 ÷ 988 =
  28. 28.34661 ÷ 97 =
  29. 29.998563 ÷ 988 =
  30. 30.74143 ÷ 96 =
  31. 31.82962 ÷ 88 =
  32. 32.72056 ÷ 96 =
  33. 33.1569 ÷ 8 =
  34. 34.504445 ÷ 988 =
  35. 35.136279 ÷ 998 =
  36. 36.690228 ÷ 897 =
  37. 37.28001 ÷ 96 =
  38. 38.821522 ÷ 997 =
  39. 39.265018 ÷ 997 =
  40. 40.42508 ÷ 97 =

Answer key

  1. 97 rem 60
  2. 261 rem 939
  3. 975 rem 763
  4. 292 rem 84
  5. 228 rem 548
  6. 886 rem 881
  7. 615 rem 70
  8. 404 rem 75
  9. 111 rem 69
  10. 380 rem 29
  11. 245 rem 2
  12. 845 rem 37
  13. 506 rem 72
  14. 230 rem 60
  15. 516 rem 4
  16. 982 rem 92
  17. 620 rem 14
  18. 937 rem 283
  19. 254 rem 41
  20. 386 rem 6
  21. 715 rem 703
  22. 707 rem 48
  23. 126 rem 4
  24. 292 rem 628
  25. 883 rem 645
  26. 153 rem 10
  27. 348 rem 800
  28. 357 rem 32
  29. 1010 rem 683
  30. 772 rem 31
  31. 942 rem 66
  32. 750 rem 56
  33. 196 rem 1
  34. 510 rem 565
  35. 136 rem 551
  36. 769 rem 435
  37. 291 rem 65
  38. 823 rem 991
  39. 265 rem 813
  40. 438 rem 22

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