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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 550 · 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. 1.656122 ÷ 997 =
  2. 2.1172 ÷ 8 =
  3. 3.207731 ÷ 897 =
  4. 4.47178 ÷ 96 =
  5. 5.23169 ÷ 98 =
  6. 6.2363 ÷ 8 =
  7. 7.672880 ÷ 988 =
  8. 8.78478 ÷ 96 =
  9. 9.1988 ÷ 8 =
  10. 10.84893 ÷ 97 =
  11. 11.709633 ÷ 997 =
  12. 12.8481 ÷ 8 =
  13. 13.2217 ÷ 8 =
  14. 14.9032 ÷ 8 =
  15. 15.32586 ÷ 97 =
  16. 16.174098 ÷ 897 =
  17. 17.9823 ÷ 8 =
  18. 18.35425 ÷ 988 =
  19. 19.71662 ÷ 897 =
  20. 20.1215 ÷ 8 =
  21. 21.99795 ÷ 98 =
  22. 22.968910 ÷ 988 =
  23. 23.86905 ÷ 89 =
  24. 24.68643 ÷ 98 =
  25. 25.17479 ÷ 96 =
  26. 26.1016 ÷ 8 =
  27. 27.64028 ÷ 98 =
  28. 28.41009 ÷ 96 =
  29. 29.37813 ÷ 98 =
  30. 30.71444 ÷ 998 =
  31. 31.481619 ÷ 897 =
  32. 32.8508 ÷ 88 =
  33. 33.280378 ÷ 988 =
  34. 34.277131 ÷ 989 =
  35. 35.863790 ÷ 989 =
  36. 36.701695 ÷ 997 =
  37. 37.172228 ÷ 989 =
  38. 38.18817 ÷ 98 =
  39. 39.871563 ÷ 998 =
  40. 40.95793 ÷ 97 =

Answer key

  1. 658 rem 96
  2. 146 rem 4
  3. 231 rem 524
  4. 491 rem 42
  5. 236 rem 41
  6. 295 rem 3
  7. 681 rem 52
  8. 817 rem 46
  9. 248 rem 4
  10. 875 rem 18
  11. 711 rem 766
  12. 1060 rem 1
  13. 277 rem 1
  14. 1129 rem 0
  15. 335 rem 91
  16. 194 rem 80
  17. 1227 rem 7
  18. 35 rem 845
  19. 79 rem 799
  20. 151 rem 7
  21. 1018 rem 31
  22. 980 rem 670
  23. 976 rem 41
  24. 700 rem 43
  25. 182 rem 7
  26. 127 rem 0
  27. 653 rem 34
  28. 427 rem 17
  29. 385 rem 83
  30. 71 rem 586
  31. 536 rem 827
  32. 96 rem 60
  33. 283 rem 774
  34. 280 rem 211
  35. 873 rem 393
  36. 703 rem 804
  37. 174 rem 142
  38. 192 rem 1
  39. 873 rem 309
  40. 987 rem 54

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