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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 935 · 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. 1.246294 ÷ 997 =
  2. 2.23829 ÷ 96 =
  3. 3.71459 ÷ 98 =
  4. 4.20789 ÷ 98 =
  5. 5.294912 ÷ 988 =
  6. 6.57288 ÷ 89 =
  7. 7.285678 ÷ 897 =
  8. 8.8517 ÷ 8 =
  9. 9.566174 ÷ 989 =
  10. 10.92386 ÷ 997 =
  11. 11.290444 ÷ 998 =
  12. 12.114807 ÷ 989 =
  13. 13.215497 ÷ 897 =
  14. 14.17737 ÷ 89 =
  15. 15.260992 ÷ 998 =
  16. 16.93837 ÷ 89 =
  17. 17.95688 ÷ 897 =
  18. 18.95629 ÷ 88 =
  19. 19.620759 ÷ 998 =
  20. 20.78301 ÷ 89 =
  21. 21.56807 ÷ 89 =
  22. 22.83390 ÷ 897 =
  23. 23.853472 ÷ 897 =
  24. 24.28793 ÷ 88 =
  25. 25.87985 ÷ 98 =
  26. 26.666220 ÷ 997 =
  27. 27.353900 ÷ 997 =
  28. 28.46537 ÷ 998 =
  29. 29.670979 ÷ 897 =
  30. 30.141951 ÷ 998 =
  31. 31.44299 ÷ 98 =
  32. 32.321545 ÷ 989 =
  33. 33.94629 ÷ 96 =
  34. 34.911143 ÷ 897 =
  35. 35.61375 ÷ 97 =
  36. 36.76008 ÷ 96 =
  37. 37.7762 ÷ 8 =
  38. 38.6893 ÷ 8 =
  39. 39.7137 ÷ 8 =
  40. 40.99233 ÷ 98 =

Answer key

  1. 247 rem 35
  2. 248 rem 21
  3. 729 rem 17
  4. 212 rem 13
  5. 298 rem 488
  6. 643 rem 61
  7. 318 rem 432
  8. 1064 rem 5
  9. 572 rem 466
  10. 92 rem 662
  11. 291 rem 26
  12. 116 rem 83
  13. 240 rem 217
  14. 199 rem 26
  15. 261 rem 514
  16. 1054 rem 31
  17. 106 rem 606
  18. 1086 rem 61
  19. 622 rem 3
  20. 879 rem 70
  21. 638 rem 25
  22. 92 rem 866
  23. 951 rem 425
  24. 327 rem 17
  25. 897 rem 79
  26. 668 rem 224
  27. 354 rem 962
  28. 46 rem 629
  29. 748 rem 23
  30. 142 rem 235
  31. 452 rem 3
  32. 325 rem 120
  33. 985 rem 69
  34. 1015 rem 688
  35. 632 rem 71
  36. 791 rem 72
  37. 970 rem 2
  38. 861 rem 5
  39. 892 rem 1
  40. 1012 rem 57

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