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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 530 · 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. 1.27754 ÷ 97 =
  2. 2.87849 ÷ 98 =
  3. 3.535484 ÷ 989 =
  4. 4.10918 ÷ 88 =
  5. 5.239118 ÷ 989 =
  6. 6.74691 ÷ 89 =
  7. 7.99052 ÷ 89 =
  8. 8.68454 ÷ 96 =
  9. 9.750928 ÷ 897 =
  10. 10.5673 ÷ 98 =
  11. 11.4313 ÷ 97 =
  12. 12.39469 ÷ 98 =
  13. 13.287847 ÷ 998 =
  14. 14.695503 ÷ 989 =
  15. 15.4782 ÷ 8 =
  16. 16.834 ÷ 8 =
  17. 17.553254 ÷ 988 =
  18. 18.50768 ÷ 89 =
  19. 19.683586 ÷ 988 =
  20. 20.58789 ÷ 88 =
  21. 21.21826 ÷ 89 =
  22. 22.50077 ÷ 88 =
  23. 23.76273 ÷ 96 =
  24. 24.7087 ÷ 8 =
  25. 25.86884 ÷ 98 =
  26. 26.66846 ÷ 998 =
  27. 27.66394 ÷ 988 =
  28. 28.152380 ÷ 988 =
  29. 29.7629 ÷ 8 =
  30. 30.49358 ÷ 988 =
  31. 31.12613 ÷ 98 =
  32. 32.816960 ÷ 989 =
  33. 33.85125 ÷ 98 =
  34. 34.79059 ÷ 89 =
  35. 35.291259 ÷ 897 =
  36. 36.94366 ÷ 96 =
  37. 37.15741 ÷ 988 =
  38. 38.39426 ÷ 97 =
  39. 39.1221 ÷ 8 =
  40. 40.95510 ÷ 88 =

Answer key

  1. 286 rem 12
  2. 896 rem 41
  3. 541 rem 435
  4. 124 rem 6
  5. 241 rem 769
  6. 839 rem 20
  7. 1112 rem 84
  8. 713 rem 6
  9. 837 rem 139
  10. 57 rem 87
  11. 44 rem 45
  12. 402 rem 73
  13. 288 rem 423
  14. 703 rem 236
  15. 597 rem 6
  16. 104 rem 2
  17. 559 rem 962
  18. 570 rem 38
  19. 691 rem 878
  20. 668 rem 5
  21. 245 rem 21
  22. 569 rem 5
  23. 794 rem 49
  24. 885 rem 7
  25. 886 rem 56
  26. 66 rem 978
  27. 67 rem 198
  28. 154 rem 228
  29. 953 rem 5
  30. 49 rem 946
  31. 128 rem 69
  32. 826 rem 46
  33. 868 rem 61
  34. 888 rem 27
  35. 324 rem 631
  36. 982 rem 94
  37. 15 rem 921
  38. 406 rem 44
  39. 152 rem 5
  40. 1085 rem 30

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