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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 242 · 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. 1.38929 ÷ 89 =
  2. 2.90328 ÷ 97 =
  3. 3.873875 ÷ 989 =
  4. 4.15265 ÷ 96 =
  5. 5.42176 ÷ 88 =
  6. 6.922416 ÷ 988 =
  7. 7.46811 ÷ 98 =
  8. 8.30956 ÷ 96 =
  9. 9.24004 ÷ 98 =
  10. 10.175245 ÷ 998 =
  11. 11.6953 ÷ 8 =
  12. 12.409414 ÷ 997 =
  13. 13.54610 ÷ 97 =
  14. 14.4724 ÷ 8 =
  15. 15.363838 ÷ 897 =
  16. 16.424434 ÷ 989 =
  17. 17.8167 ÷ 8 =
  18. 18.96769 ÷ 96 =
  19. 19.25004 ÷ 89 =
  20. 20.8579 ÷ 8 =
  21. 21.87506 ÷ 98 =
  22. 22.508774 ÷ 997 =
  23. 23.80434 ÷ 98 =
  24. 24.2923 ÷ 8 =
  25. 25.231341 ÷ 997 =
  26. 26.66325 ÷ 88 =
  27. 27.23015 ÷ 88 =
  28. 28.96547 ÷ 89 =
  29. 29.9325 ÷ 8 =
  30. 30.8491 ÷ 88 =
  31. 31.11087 ÷ 96 =
  32. 32.391748 ÷ 997 =
  33. 33.84106 ÷ 96 =
  34. 34.94864 ÷ 89 =
  35. 35.255078 ÷ 989 =
  36. 36.44165 ÷ 88 =
  37. 37.7707 ÷ 97 =
  38. 38.14808 ÷ 89 =
  39. 39.65536 ÷ 89 =
  40. 40.222805 ÷ 897 =

Answer key

  1. 437 rem 36
  2. 931 rem 21
  3. 883 rem 588
  4. 159 rem 1
  5. 479 rem 24
  6. 933 rem 612
  7. 477 rem 65
  8. 322 rem 44
  9. 244 rem 92
  10. 175 rem 595
  11. 869 rem 1
  12. 410 rem 644
  13. 562 rem 96
  14. 590 rem 4
  15. 405 rem 553
  16. 429 rem 153
  17. 1020 rem 7
  18. 1008 rem 1
  19. 280 rem 84
  20. 1072 rem 3
  21. 892 rem 90
  22. 510 rem 304
  23. 820 rem 74
  24. 365 rem 3
  25. 232 rem 37
  26. 753 rem 61
  27. 261 rem 47
  28. 1084 rem 71
  29. 1165 rem 5
  30. 96 rem 43
  31. 115 rem 47
  32. 392 rem 924
  33. 876 rem 10
  34. 1065 rem 79
  35. 257 rem 905
  36. 501 rem 77
  37. 79 rem 44
  38. 166 rem 34
  39. 736 rem 32
  40. 248 rem 349

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