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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 820 · 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. 1.8199 ÷ 8 =
  2. 2.119439 ÷ 998 =
  3. 3.201265 ÷ 988 =
  4. 4.9856 ÷ 8 =
  5. 5.2254 ÷ 8 =
  6. 6.13078 ÷ 98 =
  7. 7.2928 ÷ 96 =
  8. 8.367724 ÷ 997 =
  9. 9.673978 ÷ 988 =
  10. 10.4221 ÷ 8 =
  11. 11.67983 ÷ 88 =
  12. 12.199152 ÷ 997 =
  13. 13.956400 ÷ 997 =
  14. 14.54809 ÷ 88 =
  15. 15.41155 ÷ 89 =
  16. 16.17098 ÷ 98 =
  17. 17.17246 ÷ 89 =
  18. 18.86001 ÷ 98 =
  19. 19.4595 ÷ 8 =
  20. 20.32532 ÷ 98 =
  21. 21.808592 ÷ 998 =
  22. 22.174476 ÷ 998 =
  23. 23.129027 ÷ 998 =
  24. 24.532338 ÷ 989 =
  25. 25.48668 ÷ 98 =
  26. 26.19951 ÷ 96 =
  27. 27.56959 ÷ 97 =
  28. 28.146322 ÷ 989 =
  29. 29.950991 ÷ 998 =
  30. 30.89923 ÷ 89 =
  31. 31.288895 ÷ 989 =
  32. 32.736819 ÷ 897 =
  33. 33.1991 ÷ 96 =
  34. 34.1112 ÷ 89 =
  35. 35.42859 ÷ 89 =
  36. 36.8459 ÷ 88 =
  37. 37.77058 ÷ 98 =
  38. 38.966234 ÷ 988 =
  39. 39.15686 ÷ 88 =
  40. 40.231875 ÷ 997 =

Answer key

  1. 1024 rem 7
  2. 119 rem 677
  3. 203 rem 701
  4. 1232 rem 0
  5. 281 rem 6
  6. 133 rem 44
  7. 30 rem 48
  8. 368 rem 828
  9. 682 rem 162
  10. 527 rem 5
  11. 772 rem 47
  12. 199 rem 749
  13. 959 rem 277
  14. 622 rem 73
  15. 462 rem 37
  16. 174 rem 46
  17. 193 rem 69
  18. 877 rem 55
  19. 574 rem 3
  20. 331 rem 94
  21. 810 rem 212
  22. 174 rem 824
  23. 129 rem 285
  24. 538 rem 256
  25. 496 rem 60
  26. 207 rem 79
  27. 587 rem 20
  28. 147 rem 939
  29. 952 rem 895
  30. 1010 rem 33
  31. 292 rem 107
  32. 821 rem 382
  33. 20 rem 71
  34. 12 rem 44
  35. 481 rem 50
  36. 96 rem 11
  37. 786 rem 30
  38. 977 rem 958
  39. 178 rem 22
  40. 232 rem 571

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