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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 600 · 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. 1.91569 ÷ 88 =
  2. 2.106111 ÷ 988 =
  3. 3.9308 ÷ 8 =
  4. 4.735 ÷ 8 =
  5. 5.76382 ÷ 89 =
  6. 6.53935 ÷ 88 =
  7. 7.652919 ÷ 989 =
  8. 8.14225 ÷ 96 =
  9. 9.1977 ÷ 97 =
  10. 10.82628 ÷ 96 =
  11. 11.77717 ÷ 97 =
  12. 12.937 ÷ 8 =
  13. 13.29605 ÷ 96 =
  14. 14.462976 ÷ 897 =
  15. 15.210592 ÷ 988 =
  16. 16.220006 ÷ 998 =
  17. 17.6005 ÷ 98 =
  18. 18.792200 ÷ 998 =
  19. 19.53081 ÷ 98 =
  20. 20.91262 ÷ 89 =
  21. 21.8270 ÷ 97 =
  22. 22.795020 ÷ 897 =
  23. 23.148940 ÷ 989 =
  24. 24.57385 ÷ 97 =
  25. 25.2143 ÷ 98 =
  26. 26.91095 ÷ 98 =
  27. 27.59144 ÷ 97 =
  28. 28.51903 ÷ 98 =
  29. 29.156648 ÷ 998 =
  30. 30.59491 ÷ 89 =
  31. 31.74349 ÷ 89 =
  32. 32.55846 ÷ 88 =
  33. 33.34236 ÷ 96 =
  34. 34.2238 ÷ 8 =
  35. 35.39432 ÷ 98 =
  36. 36.88473 ÷ 98 =
  37. 37.8248 ÷ 8 =
  38. 38.22483 ÷ 88 =
  39. 39.887041 ÷ 989 =
  40. 40.15249 ÷ 88 =

Answer key

  1. 1040 rem 49
  2. 107 rem 395
  3. 1163 rem 4
  4. 91 rem 7
  5. 858 rem 20
  6. 612 rem 79
  7. 660 rem 179
  8. 148 rem 17
  9. 20 rem 37
  10. 860 rem 68
  11. 801 rem 20
  12. 117 rem 1
  13. 308 rem 37
  14. 516 rem 124
  15. 213 rem 148
  16. 220 rem 446
  17. 61 rem 27
  18. 793 rem 786
  19. 541 rem 63
  20. 1025 rem 37
  21. 85 rem 25
  22. 886 rem 278
  23. 150 rem 590
  24. 591 rem 58
  25. 21 rem 85
  26. 929 rem 53
  27. 609 rem 71
  28. 529 rem 61
  29. 156 rem 960
  30. 668 rem 39
  31. 835 rem 34
  32. 634 rem 54
  33. 356 rem 60
  34. 279 rem 6
  35. 402 rem 36
  36. 902 rem 77
  37. 1031 rem 0
  38. 255 rem 43
  39. 896 rem 897
  40. 173 rem 25

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