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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 911 · 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. 1.550645 ÷ 997 =
  2. 2.174 ÷ 8 =
  3. 3.549741 ÷ 989 =
  4. 4.20131 ÷ 96 =
  5. 5.33210 ÷ 988 =
  6. 6.28001 ÷ 98 =
  7. 7.62307 ÷ 96 =
  8. 8.3090 ÷ 97 =
  9. 9.40231 ÷ 88 =
  10. 10.84348 ÷ 98 =
  11. 11.1803 ÷ 8 =
  12. 12.959053 ÷ 997 =
  13. 13.731329 ÷ 897 =
  14. 14.88740 ÷ 97 =
  15. 15.92144 ÷ 89 =
  16. 16.201217 ÷ 897 =
  17. 17.300942 ÷ 988 =
  18. 18.84103 ÷ 88 =
  19. 19.40890 ÷ 97 =
  20. 20.25209 ÷ 98 =
  21. 21.2814 ÷ 8 =
  22. 22.80474 ÷ 97 =
  23. 23.2381 ÷ 89 =
  24. 24.68945 ÷ 88 =
  25. 25.7144 ÷ 8 =
  26. 26.35380 ÷ 96 =
  27. 27.1395 ÷ 88 =
  28. 28.79344 ÷ 88 =
  29. 29.98154 ÷ 88 =
  30. 30.826747 ÷ 988 =
  31. 31.18072 ÷ 89 =
  32. 32.677897 ÷ 997 =
  33. 33.30562 ÷ 89 =
  34. 34.771630 ÷ 998 =
  35. 35.16216 ÷ 97 =
  36. 36.211935 ÷ 998 =
  37. 37.5051 ÷ 8 =
  38. 38.757742 ÷ 897 =
  39. 39.206135 ÷ 988 =
  40. 40.8962 ÷ 97 =

Answer key

  1. 552 rem 301
  2. 21 rem 6
  3. 555 rem 846
  4. 209 rem 67
  5. 33 rem 606
  6. 285 rem 71
  7. 649 rem 3
  8. 31 rem 83
  9. 457 rem 15
  10. 860 rem 68
  11. 225 rem 3
  12. 961 rem 936
  13. 815 rem 274
  14. 914 rem 82
  15. 1035 rem 29
  16. 224 rem 289
  17. 304 rem 590
  18. 955 rem 63
  19. 421 rem 53
  20. 257 rem 23
  21. 351 rem 6
  22. 829 rem 61
  23. 26 rem 67
  24. 783 rem 41
  25. 893 rem 0
  26. 368 rem 52
  27. 15 rem 75
  28. 901 rem 56
  29. 1115 rem 34
  30. 836 rem 779
  31. 203 rem 5
  32. 679 rem 934
  33. 343 rem 35
  34. 773 rem 176
  35. 167 rem 17
  36. 212 rem 359
  37. 631 rem 3
  38. 844 rem 674
  39. 208 rem 631
  40. 92 rem 38

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