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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 965 · 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. 1.542806 ÷ 988 =
  2. 2.860382 ÷ 988 =
  3. 3.514161 ÷ 997 =
  4. 4.18575 ÷ 98 =
  5. 5.80385 ÷ 88 =
  6. 6.992491 ÷ 997 =
  7. 7.74422 ÷ 97 =
  8. 8.728722 ÷ 897 =
  9. 9.985443 ÷ 988 =
  10. 10.37397 ÷ 89 =
  11. 11.55731 ÷ 97 =
  12. 12.539541 ÷ 988 =
  13. 13.124177 ÷ 989 =
  14. 14.7912 ÷ 8 =
  15. 15.898889 ÷ 897 =
  16. 16.9473 ÷ 8 =
  17. 17.355622 ÷ 897 =
  18. 18.79384 ÷ 88 =
  19. 19.94639 ÷ 98 =
  20. 20.35683 ÷ 89 =
  21. 21.67856 ÷ 96 =
  22. 22.750289 ÷ 997 =
  23. 23.94581 ÷ 98 =
  24. 24.816707 ÷ 989 =
  25. 25.78384 ÷ 89 =
  26. 26.25497 ÷ 98 =
  27. 27.524538 ÷ 988 =
  28. 28.112046 ÷ 998 =
  29. 29.89934 ÷ 98 =
  30. 30.1933 ÷ 8 =
  31. 31.1655 ÷ 8 =
  32. 32.36682 ÷ 96 =
  33. 33.35652 ÷ 897 =
  34. 34.159227 ÷ 988 =
  35. 35.615680 ÷ 998 =
  36. 36.4133 ÷ 8 =
  37. 37.175774 ÷ 997 =
  38. 38.919930 ÷ 897 =
  39. 39.93449 ÷ 89 =
  40. 40.69839 ÷ 96 =

Answer key

  1. 549 rem 394
  2. 870 rem 822
  3. 515 rem 706
  4. 189 rem 53
  5. 913 rem 41
  6. 995 rem 476
  7. 767 rem 23
  8. 812 rem 358
  9. 997 rem 407
  10. 420 rem 17
  11. 574 rem 53
  12. 546 rem 93
  13. 125 rem 552
  14. 989 rem 0
  15. 1002 rem 95
  16. 1184 rem 1
  17. 396 rem 410
  18. 902 rem 8
  19. 965 rem 69
  20. 400 rem 83
  21. 706 rem 80
  22. 752 rem 545
  23. 965 rem 11
  24. 825 rem 782
  25. 880 rem 64
  26. 260 rem 17
  27. 530 rem 898
  28. 112 rem 270
  29. 917 rem 68
  30. 241 rem 5
  31. 206 rem 7
  32. 382 rem 10
  33. 39 rem 669
  34. 161 rem 159
  35. 616 rem 912
  36. 516 rem 5
  37. 176 rem 302
  38. 1025 rem 505
  39. 1049 rem 88
  40. 727 rem 47

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