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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 275 · 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. 1.267031 ÷ 997 =
  2. 2.445110 ÷ 997 =
  3. 3.4053 ÷ 8 =
  4. 4.327965 ÷ 988 =
  5. 5.63212 ÷ 989 =
  6. 6.280029 ÷ 988 =
  7. 7.92659 ÷ 98 =
  8. 8.553298 ÷ 997 =
  9. 9.97414 ÷ 89 =
  10. 10.544090 ÷ 988 =
  11. 11.31253 ÷ 89 =
  12. 12.9349 ÷ 8 =
  13. 13.715354 ÷ 998 =
  14. 14.850224 ÷ 998 =
  15. 15.204570 ÷ 989 =
  16. 16.345256 ÷ 988 =
  17. 17.8955 ÷ 8 =
  18. 18.50136 ÷ 96 =
  19. 19.21766 ÷ 97 =
  20. 20.71448 ÷ 89 =
  21. 21.69455 ÷ 89 =
  22. 22.57176 ÷ 96 =
  23. 23.621167 ÷ 997 =
  24. 24.28373 ÷ 96 =
  25. 25.9119 ÷ 8 =
  26. 26.8985 ÷ 8 =
  27. 27.692414 ÷ 897 =
  28. 28.21390 ÷ 89 =
  29. 29.185 ÷ 8 =
  30. 30.556132 ÷ 988 =
  31. 31.737 ÷ 8 =
  32. 32.702970 ÷ 989 =
  33. 33.78832 ÷ 96 =
  34. 34.16829 ÷ 97 =
  35. 35.75252 ÷ 897 =
  36. 36.54775 ÷ 89 =
  37. 37.50038 ÷ 997 =
  38. 38.22161 ÷ 89 =
  39. 39.35911 ÷ 98 =
  40. 40.177434 ÷ 998 =

Answer key

  1. 267 rem 832
  2. 446 rem 448
  3. 506 rem 5
  4. 331 rem 937
  5. 63 rem 905
  6. 283 rem 425
  7. 945 rem 49
  8. 554 rem 960
  9. 1094 rem 48
  10. 550 rem 690
  11. 351 rem 14
  12. 1168 rem 5
  13. 716 rem 786
  14. 851 rem 926
  15. 206 rem 836
  16. 349 rem 444
  17. 1119 rem 3
  18. 522 rem 24
  19. 224 rem 38
  20. 802 rem 70
  21. 780 rem 35
  22. 595 rem 56
  23. 623 rem 36
  24. 295 rem 53
  25. 1139 rem 7
  26. 1123 rem 1
  27. 771 rem 827
  28. 240 rem 30
  29. 23 rem 1
  30. 562 rem 876
  31. 92 rem 1
  32. 710 rem 780
  33. 821 rem 16
  34. 173 rem 48
  35. 83 rem 801
  36. 615 rem 40
  37. 50 rem 188
  38. 249 rem 0
  39. 366 rem 43
  40. 177 rem 788

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