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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 124 · 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. 1.76646 ÷ 88 =
  2. 2.79358 ÷ 96 =
  3. 3.80649 ÷ 989 =
  4. 4.914432 ÷ 988 =
  5. 5.36986 ÷ 98 =
  6. 6.72745 ÷ 997 =
  7. 7.45292 ÷ 88 =
  8. 8.112629 ÷ 998 =
  9. 9.2346 ÷ 8 =
  10. 10.918058 ÷ 989 =
  11. 11.68803 ÷ 89 =
  12. 12.5536 ÷ 98 =
  13. 13.57098 ÷ 97 =
  14. 14.430256 ÷ 988 =
  15. 15.162309 ÷ 997 =
  16. 16.856735 ÷ 997 =
  17. 17.236509 ÷ 998 =
  18. 18.4527 ÷ 8 =
  19. 19.396653 ÷ 988 =
  20. 20.570986 ÷ 989 =
  21. 21.211725 ÷ 989 =
  22. 22.4841 ÷ 8 =
  23. 23.750792 ÷ 997 =
  24. 24.75239 ÷ 97 =
  25. 25.1538 ÷ 97 =
  26. 26.249465 ÷ 897 =
  27. 27.789760 ÷ 997 =
  28. 28.183248 ÷ 998 =
  29. 29.490928 ÷ 998 =
  30. 30.75646 ÷ 89 =
  31. 31.993737 ÷ 897 =
  32. 32.55303 ÷ 988 =
  33. 33.52980 ÷ 89 =
  34. 34.999209 ÷ 998 =
  35. 35.8940 ÷ 8 =
  36. 36.234366 ÷ 998 =
  37. 37.25641 ÷ 988 =
  38. 38.907275 ÷ 998 =
  39. 39.7535 ÷ 96 =
  40. 40.83192 ÷ 98 =

Answer key

  1. 870 rem 86
  2. 826 rem 62
  3. 81 rem 540
  4. 925 rem 532
  5. 377 rem 40
  6. 72 rem 961
  7. 514 rem 60
  8. 112 rem 853
  9. 293 rem 2
  10. 928 rem 266
  11. 773 rem 6
  12. 56 rem 48
  13. 588 rem 62
  14. 435 rem 476
  15. 162 rem 795
  16. 859 rem 312
  17. 236 rem 981
  18. 565 rem 7
  19. 401 rem 465
  20. 577 rem 333
  21. 214 rem 79
  22. 605 rem 1
  23. 753 rem 51
  24. 775 rem 64
  25. 15 rem 83
  26. 278 rem 99
  27. 792 rem 136
  28. 183 rem 614
  29. 491 rem 910
  30. 849 rem 85
  31. 1107 rem 758
  32. 55 rem 963
  33. 595 rem 25
  34. 1001 rem 211
  35. 1117 rem 4
  36. 234 rem 834
  37. 25 rem 941
  38. 909 rem 93
  39. 78 rem 47
  40. 848 rem 88

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