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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 157 · 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. 1.835409 ÷ 998 =
  2. 2.256868 ÷ 988 =
  3. 3.91849 ÷ 97 =
  4. 4.4099 ÷ 89 =
  5. 5.72497 ÷ 96 =
  6. 6.11515 ÷ 89 =
  7. 7.981609 ÷ 998 =
  8. 8.16650 ÷ 97 =
  9. 9.29734 ÷ 96 =
  10. 10.2903 ÷ 89 =
  11. 11.7719 ÷ 8 =
  12. 12.175618 ÷ 989 =
  13. 13.68925 ÷ 997 =
  14. 14.40206 ÷ 989 =
  15. 15.193944 ÷ 989 =
  16. 16.5098 ÷ 8 =
  17. 17.788119 ÷ 988 =
  18. 18.738617 ÷ 998 =
  19. 19.51520 ÷ 98 =
  20. 20.92038 ÷ 96 =
  21. 21.190831 ÷ 998 =
  22. 22.257435 ÷ 989 =
  23. 23.209793 ÷ 897 =
  24. 24.2243 ÷ 96 =
  25. 25.121168 ÷ 989 =
  26. 26.959137 ÷ 998 =
  27. 27.271914 ÷ 997 =
  28. 28.26807 ÷ 97 =
  29. 29.178741 ÷ 897 =
  30. 30.6821 ÷ 8 =
  31. 31.670482 ÷ 897 =
  32. 32.99223 ÷ 89 =
  33. 33.26098 ÷ 96 =
  34. 34.206390 ÷ 989 =
  35. 35.47810 ÷ 97 =
  36. 36.40288 ÷ 96 =
  37. 37.31603 ÷ 97 =
  38. 38.679167 ÷ 988 =
  39. 39.4868 ÷ 89 =
  40. 40.89082 ÷ 997 =

Answer key

  1. 837 rem 83
  2. 259 rem 976
  3. 946 rem 87
  4. 46 rem 5
  5. 755 rem 17
  6. 129 rem 34
  7. 983 rem 575
  8. 171 rem 63
  9. 309 rem 70
  10. 32 rem 55
  11. 964 rem 7
  12. 177 rem 565
  13. 69 rem 132
  14. 40 rem 646
  15. 196 rem 100
  16. 637 rem 2
  17. 797 rem 683
  18. 740 rem 97
  19. 525 rem 70
  20. 958 rem 70
  21. 191 rem 213
  22. 260 rem 295
  23. 233 rem 792
  24. 23 rem 35
  25. 122 rem 510
  26. 961 rem 59
  27. 272 rem 730
  28. 276 rem 35
  29. 199 rem 238
  30. 852 rem 5
  31. 747 rem 423
  32. 1114 rem 77
  33. 271 rem 82
  34. 208 rem 678
  35. 492 rem 86
  36. 419 rem 64
  37. 325 rem 78
  38. 687 rem 411
  39. 54 rem 62
  40. 89 rem 349

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