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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 603 · 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. 1.77263 ÷ 98 =
  2. 2.6546 ÷ 8 =
  3. 3.270131 ÷ 897 =
  4. 4.17738 ÷ 98 =
  5. 5.34057 ÷ 98 =
  6. 6.30316 ÷ 88 =
  7. 7.26171 ÷ 988 =
  8. 8.13943 ÷ 97 =
  9. 9.487729 ÷ 998 =
  10. 10.919653 ÷ 989 =
  11. 11.12918 ÷ 89 =
  12. 12.14496 ÷ 89 =
  13. 13.180560 ÷ 989 =
  14. 14.7646 ÷ 8 =
  15. 15.599651 ÷ 998 =
  16. 16.2315 ÷ 8 =
  17. 17.150674 ÷ 989 =
  18. 18.40768 ÷ 97 =
  19. 19.994680 ÷ 989 =
  20. 20.788469 ÷ 897 =
  21. 21.585351 ÷ 989 =
  22. 22.670368 ÷ 997 =
  23. 23.632506 ÷ 998 =
  24. 24.28694 ÷ 89 =
  25. 25.29123 ÷ 97 =
  26. 26.993371 ÷ 998 =
  27. 27.87400 ÷ 988 =
  28. 28.611700 ÷ 989 =
  29. 29.561724 ÷ 998 =
  30. 30.51373 ÷ 96 =
  31. 31.464751 ÷ 988 =
  32. 32.744180 ÷ 989 =
  33. 33.61064 ÷ 89 =
  34. 34.59463 ÷ 88 =
  35. 35.78215 ÷ 97 =
  36. 36.93057 ÷ 97 =
  37. 37.9564 ÷ 97 =
  38. 38.23199 ÷ 96 =
  39. 39.87433 ÷ 89 =
  40. 40.67811 ÷ 98 =

Answer key

  1. 788 rem 39
  2. 818 rem 2
  3. 301 rem 134
  4. 181 rem 0
  5. 347 rem 51
  6. 344 rem 44
  7. 26 rem 483
  8. 143 rem 72
  9. 488 rem 705
  10. 929 rem 872
  11. 145 rem 13
  12. 162 rem 78
  13. 182 rem 562
  14. 955 rem 6
  15. 600 rem 851
  16. 289 rem 3
  17. 152 rem 346
  18. 420 rem 28
  19. 1005 rem 735
  20. 879 rem 6
  21. 591 rem 852
  22. 672 rem 384
  23. 633 rem 772
  24. 322 rem 36
  25. 300 rem 23
  26. 995 rem 361
  27. 88 rem 456
  28. 618 rem 498
  29. 562 rem 848
  30. 535 rem 13
  31. 470 rem 391
  32. 752 rem 452
  33. 686 rem 10
  34. 675 rem 63
  35. 806 rem 33
  36. 959 rem 34
  37. 98 rem 58
  38. 241 rem 63
  39. 982 rem 35
  40. 691 rem 93

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