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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 698 · 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. 1.95006 ÷ 98 =
  2. 2.27339 ÷ 96 =
  3. 3.17747 ÷ 98 =
  4. 4.29787 ÷ 96 =
  5. 5.7948 ÷ 8 =
  6. 6.73865 ÷ 89 =
  7. 7.9425 ÷ 8 =
  8. 8.34351 ÷ 88 =
  9. 9.459225 ÷ 997 =
  10. 10.8594 ÷ 8 =
  11. 11.424450 ÷ 998 =
  12. 12.27789 ÷ 989 =
  13. 13.701008 ÷ 998 =
  14. 14.904263 ÷ 989 =
  15. 15.989535 ÷ 997 =
  16. 16.81623 ÷ 89 =
  17. 17.784502 ÷ 998 =
  18. 18.145107 ÷ 988 =
  19. 19.445306 ÷ 997 =
  20. 20.83232 ÷ 98 =
  21. 21.44071 ÷ 98 =
  22. 22.863278 ÷ 988 =
  23. 23.17392 ÷ 88 =
  24. 24.858730 ÷ 989 =
  25. 25.40608 ÷ 96 =
  26. 26.523001 ÷ 989 =
  27. 27.64186 ÷ 997 =
  28. 28.26768 ÷ 96 =
  29. 29.57473 ÷ 88 =
  30. 30.27642 ÷ 98 =
  31. 31.18965 ÷ 97 =
  32. 32.41166 ÷ 89 =
  33. 33.535750 ÷ 988 =
  34. 34.9559 ÷ 8 =
  35. 35.33177 ÷ 98 =
  36. 36.66859 ÷ 97 =
  37. 37.25018 ÷ 96 =
  38. 38.60996 ÷ 88 =
  39. 39.77406 ÷ 897 =
  40. 40.479606 ÷ 897 =

Answer key

  1. 969 rem 44
  2. 284 rem 75
  3. 181 rem 9
  4. 310 rem 27
  5. 993 rem 4
  6. 829 rem 84
  7. 1178 rem 1
  8. 390 rem 31
  9. 460 rem 605
  10. 1074 rem 2
  11. 425 rem 300
  12. 28 rem 97
  13. 702 rem 412
  14. 914 rem 317
  15. 992 rem 511
  16. 917 rem 10
  17. 786 rem 74
  18. 146 rem 859
  19. 446 rem 644
  20. 849 rem 30
  21. 449 rem 69
  22. 873 rem 754
  23. 197 rem 56
  24. 868 rem 278
  25. 423 rem 0
  26. 528 rem 809
  27. 64 rem 378
  28. 278 rem 80
  29. 653 rem 9
  30. 282 rem 6
  31. 195 rem 50
  32. 462 rem 48
  33. 542 rem 254
  34. 1194 rem 7
  35. 338 rem 53
  36. 689 rem 26
  37. 260 rem 58
  38. 693 rem 12
  39. 86 rem 264
  40. 534 rem 608

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