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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 847 · 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. 1.55899 ÷ 98 =
  2. 2.28660 ÷ 88 =
  3. 3.435436 ÷ 998 =
  4. 4.237226 ÷ 988 =
  5. 5.249212 ÷ 989 =
  6. 6.62147 ÷ 88 =
  7. 7.67104 ÷ 88 =
  8. 8.42920 ÷ 98 =
  9. 9.271 ÷ 8 =
  10. 10.1934 ÷ 8 =
  11. 11.165622 ÷ 989 =
  12. 12.534998 ÷ 988 =
  13. 13.834627 ÷ 997 =
  14. 14.99890 ÷ 89 =
  15. 15.94791 ÷ 97 =
  16. 16.676574 ÷ 997 =
  17. 17.321888 ÷ 998 =
  18. 18.458482 ÷ 998 =
  19. 19.30442 ÷ 96 =
  20. 20.139476 ÷ 997 =
  21. 21.3093 ÷ 8 =
  22. 22.60849 ÷ 997 =
  23. 23.989187 ÷ 897 =
  24. 24.52565 ÷ 88 =
  25. 25.431399 ÷ 897 =
  26. 26.99728 ÷ 89 =
  27. 27.89987 ÷ 89 =
  28. 28.9998 ÷ 8 =
  29. 29.3210 ÷ 96 =
  30. 30.44894 ÷ 88 =
  31. 31.133512 ÷ 998 =
  32. 32.94339 ÷ 96 =
  33. 33.91920 ÷ 89 =
  34. 34.51762 ÷ 98 =
  35. 35.65410 ÷ 96 =
  36. 36.40418 ÷ 897 =
  37. 37.696 ÷ 8 =
  38. 38.2203 ÷ 8 =
  39. 39.40620 ÷ 98 =
  40. 40.677277 ÷ 897 =

Answer key

  1. 570 rem 39
  2. 325 rem 60
  3. 436 rem 308
  4. 240 rem 106
  5. 251 rem 973
  6. 706 rem 19
  7. 762 rem 48
  8. 437 rem 94
  9. 33 rem 7
  10. 241 rem 6
  11. 167 rem 459
  12. 541 rem 490
  13. 837 rem 138
  14. 1122 rem 32
  15. 977 rem 22
  16. 678 rem 608
  17. 322 rem 532
  18. 459 rem 400
  19. 317 rem 10
  20. 139 rem 893
  21. 386 rem 5
  22. 61 rem 32
  23. 1102 rem 693
  24. 597 rem 29
  25. 480 rem 839
  26. 1120 rem 48
  27. 1011 rem 8
  28. 1249 rem 6
  29. 33 rem 42
  30. 510 rem 14
  31. 133 rem 778
  32. 982 rem 67
  33. 1032 rem 72
  34. 528 rem 18
  35. 681 rem 34
  36. 45 rem 53
  37. 87 rem 0
  38. 275 rem 3
  39. 414 rem 48
  40. 755 rem 42

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